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2076433632 = 253271379229
BaseRepresentation
bin111101111000011…
…1101110011100000
312100201011202110100
41323300331303200
513223031334012
6542013102400
7102312252240
oct17360756340
95321152410
102076433632
11976102359
1249b487a00
13271259370
14159ab3b20
15c245e8dc
hex7bc3dce0

2076433632 has 144 divisors (see below), whose sum is σ = 7267609440. Its totient is φ = 547623936.

The previous prime is 2076433613. The next prime is 2076433657. The reversal of 2076433632 is 2363346702.

2076433632 is a `hidden beast` number, since 2 + 0 + 7 + 643 + 3 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20764336322 = 8623153256201422848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13407 + ... + 65822.

It is an arithmetic number, because the mean of its divisors is an integer number (50469510).

Almost surely, 22076433632 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 2076433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633804720).

2076433632 is an abundant number, since it is smaller than the sum of its proper divisors (5191175808).

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

2076433632 is a wasteful number, since it uses less digits than its factorization.

2076433632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79265 (or 79254 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 2076433632 is about 45567.9013341628. The cubic root of 2076433632 is about 1275.7708796135.

The spelling of 2076433632 in words is "two billion, seventy-six million, four hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 79229 158458 237687 316916 475374 554603 633832 713061 950748 1029977 1109206 1267664 1426122 1663809 1901496 2059954 2218412 2535328 2852244 3089931 3327618 3802992 4119908 4436824 4991427 5704488 6179862 6655236 7209839 7605984 8239816 8873648 9269793 9982854 11408976 12359724 13310472 14419678 16479632 17747296 18539586 19965708 21629517 22817952 24719448 26620944 28839356 32959264 37079172 39931416 43259034 49438896 53241888 57678712 64888551 74158344 79862832 86518068 98877792 115357424 129777102 148316688 159725664 173036136 230714848 259554204 296633376 346072272 519108408 692144544 1038216816 2076433632