Search a number
-
+
2036884968 = 233419237193
BaseRepresentation
bin111100101101000…
…0110010111101000
312020221202110220000
41321122012113220
513132420304333
6534041303000
7101322144066
oct17132062750
95227673800
102036884968
1195584a908
1248a194a60
13265cc00a1
1415473b036
15bdc4b713
hex796865e8

2036884968 has 160 divisors (see below), whose sum is σ = 6267412800. Its totient is φ = 615174912.

The previous prime is 2036884963. The next prime is 2036884973. The reversal of 2036884968 is 8694886302.

It is an interprime number because it is at equal distance from previous prime (2036884963) and next prime (2036884973).

It is a super-2 number, since 2×20368849682 = 8297800745728722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2036884963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279580 + ... + 286772.

It is an arithmetic number, because the mean of its divisors is an integer number (39171330).

Almost surely, 22036884968 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 2036884968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133706400).

2036884968 is an abundant number, since it is smaller than the sum of its proper divisors (4230527832).

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

2036884968 is a wasteful number, since it uses less digits than its factorization.

2036884968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2036884968 is about 45131.8620045750. The cubic root of 2036884968 is about 1267.6192752151.

The spelling of 2036884968 in words is "two billion, thirty-six million, eight hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 81 92 108 114 138 152 162 171 184 207 216 228 276 324 342 414 437 456 513 552 621 648 684 828 874 1026 1242 1311 1368 1539 1656 1748 1863 2052 2484 2622 3078 3496 3726 3933 4104 4968 5244 6156 7193 7452 7866 10488 11799 12312 14386 14904 15732 21579 23598 28772 31464 35397 43158 47196 57544 64737 70794 86316 94392 129474 136667 141588 165439 172632 194211 258948 273334 283176 330878 388422 410001 496317 517896 546668 582633 661756 776844 820002 992634 1093336 1165266 1230003 1323512 1488951 1553688 1640004 1985268 2330532 2460006 2977902 3143341 3280008 3690009 3970536 4466853 4661064 4920012 5955804 6286682 7380018 8933706 9430023 9840024 11070027 11911608 12573364 13400559 14760036 17867412 18860046 22140054 25146728 26801118 28290069 29520072 35734824 37720092 44280108 53602236 56580138 75440184 84870207 88560216 107204472 113160276 169740414 226320552 254610621 339480828 509221242 678961656 1018442484 2036884968