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2120642832 = 2437111733751
BaseRepresentation
bin111111001100110…
…0111000100010000
312110210100211002010
41332121213010100
513320341032312
6550232422520
7103360111110
oct17631470420
95423324063
102120642832
11999058390
124b2247a40
1327a467a59
14161901040
15c629393c
hex7e667110

2120642832 has 160 divisors (see below), whose sum is σ = 7232108544. Its totient is φ = 518400000.

The previous prime is 2120642831. The next prime is 2120642861. The reversal of 2120642832 is 2382460212.

It is a self number, because there is not a number n which added to its sum of digits gives 2120642832.

It is not an unprimeable number, because it can be changed into a prime (2120642831) 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, 45957 + ... + 79707.

Almost surely, 22120642832 is an apocalyptic number.

2120642832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120642832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616054272).

2120642832 is an abundant number, since it is smaller than the sum of its proper divisors (5111465712).

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

2120642832 is a wasteful number, since it uses less digits than its factorization.

2120642832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33797 (or 33791 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2120642832 is about 46050.4379132273. The cubic root of 2120642832 is about 1284.7614877258.

The spelling of 2120642832 in words is "two billion, one hundred twenty million, six hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 44 48 51 56 66 68 77 84 88 102 112 119 132 136 154 168 176 187 204 231 238 264 272 308 336 357 374 408 462 476 528 561 616 714 748 816 924 952 1122 1232 1309 1428 1496 1848 1904 2244 2618 2856 2992 3696 3927 4488 5236 5712 7854 8976 10472 15708 20944 31416 33751 62832 67502 101253 135004 202506 236257 270008 371261 405012 472514 540016 573767 708771 742522 810024 945028 1113783 1147534 1417542 1485044 1620048 1721301 1890056 2227566 2295068 2598827 2835084 2970088 3442602 3780112 4016369 4455132 4590136 5197654 5670168 5940176 6311437 6885204 7796481 8032738 8910264 9180272 10395308 11340336 12049107 12622874 13770408 15592962 16065476 17820528 18934311 20790616 24098214 25245748 27540816 31185924 32130952 37868622 41581232 44180059 48196428 50491496 62371848 64261904 75737244 88360118 96392856 100982992 124743696 132540177 151474488 176720236 192785712 265080354 302948976 353440472 530160708 706880944 1060321416 2120642832