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2076226128 = 243347293349
BaseRepresentation
bin111101111000000…
…1011001001010000
312100200210012211000
41323300023021100
513223003214003
6542004422000
7102310426254
oct17360131120
95320705730
102076226128
11975a80469
1249b3a7900
132711b5a92
14159a5c264
15c241d1a3
hex7bc0b250

2076226128 has 160 divisors (see below), whose sum is σ = 6124608000. Its totient is φ = 673104384.

The previous prime is 2076226127. The next prime is 2076226129. The reversal of 2076226128 is 8216226702.

2076226128 is a `hidden beast` number, since 2 + 0 + 7 + 622 + 6 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2076226127) and next prime (2076226129).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2076226092 and 2076226101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076226127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5948898 + ... + 5949246.

It is an arithmetic number, because the mean of its divisors is an integer number (38278800).

Almost surely, 22076226128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2076226128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062304000).

2076226128 is an abundant number, since it is smaller than the sum of its proper divisors (4048381872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2076226128 is a wasteful number, since it uses less digits than its factorization.

2076226128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2076226128 is about 45565.6244113915. The cubic root of 2076226128 is about 1275.7283810436.

The spelling of 2076226128 in words is "two billion, seventy-six million, two hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 293 349 376 423 432 564 586 698 752 846 879 1047 1128 1172 1269 1396 1692 1758 2094 2256 2344 2538 2637 2792 3141 3384 3516 4188 4688 5076 5274 5584 6282 6768 7032 7911 8376 9423 10152 10548 12564 13771 14064 15822 16403 16752 18846 20304 21096 25128 27542 31644 32806 37692 41313 42192 49209 50256 55084 63288 65612 75384 82626 98418 102257 110168 123939 126576 131224 147627 150768 165252 196836 204514 220336 247878 262448 295254 306771 330504 371817 393672 409028 442881 495756 590508 613542 661008 743634 787344 818056 885762 920313 991512 1181016 1227084 1487268 1636112 1771524 1840626 1983024 2362032 2454168 2760939 2974536 3543048 3681252 4806079 4908336 5521878 5949072 7086096 7362504 9612158 11043756 14418237 14725008 19224316 22087512 28836474 38448632 43254711 44175024 57672948 76897264 86509422 115345896 129764133 173018844 230691792 259528266 346037688 519056532 692075376 1038113064 2076226128