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870129216 = 26341115259
BaseRepresentation
bin110011110111010…
…001111001000000
32020122022010220000
4303313101321000
53240223113331
6222201520000
730363655605
oct6367217100
92218263800
10870129216
1140718aa60
122034a3000
1310b368478
14837c26ac
15515cb0e6
hex33dd1e40

870129216 has 140 divisors (see below), whose sum is σ = 2814005040. Its totient is φ = 263658240.

The previous prime is 870129133. The next prime is 870129217. The reversal of 870129216 is 612921078.

870129216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (870129217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49395 + ... + 64653.

It is an arithmetic number, because the mean of its divisors is an integer number (20100036).

Almost surely, 2870129216 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 870129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407002520).

870129216 is an abundant number, since it is smaller than the sum of its proper divisors (1943875824).

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

870129216 is a wasteful number, since it uses less digits than its factorization.

870129216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15294 (or 15275 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 870129216 is about 29497.9527425210. The cubic root of 870129216 is about 954.6875309708.

The spelling of 870129216 in words is "eight hundred seventy million, one hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 15259 19008 28512 30518 45777 57024 61036 91554 122072 137331 167849 183108 244144 274662 335698 366216 411993 488288 503547 549324 671396 732432 823986 976576 1007094 1098648 1235979 1342792 1464864 1510641 1647972 2014188 2197296 2471958 2685584 2929728 3021282 3295944 4028376 4394592 4531923 4943916 5371168 6042564 6591888 8056752 8789184 9063846 9887832 10742336 12085128 13183776 13595769 16113504 18127692 19775664 24170256 26367552 27191538 32227008 36255384 39551328 48340512 54383076 72510768 79102656 96681024 108766152 145021536 217532304 290043072 435064608 870129216