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870403872 = 253135911821
BaseRepresentation
bin110011111000010…
…100111100100000
32020122211002122110
4303320110330200
53240310410442
6222211435320
730366211422
oct6370247440
92218732573
10870403872
11407358348
122035b5b40
1310b4334a0
1483854812
155163269c
hex33e14f20

870403872 has 96 divisors (see below), whose sum is σ = 2502480960. Its totient is φ = 263255040.

The previous prime is 870403871. The next prime is 870403967. The reversal of 870403872 is 278304078.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 870403872.

It is not an unprimeable number, because it can be changed into a prime (870403871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67722 + ... + 79542.

It is an arithmetic number, because the mean of its divisors is an integer number (26067510).

Almost surely, 2870403872 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 870403872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251240480).

870403872 is an abundant number, since it is smaller than the sum of its proper divisors (1632077088).

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

870403872 is a wasteful number, since it uses less digits than its factorization.

870403872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11906 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 870403872 is about 29502.6078847277. The cubic root of 870403872 is about 954.7879693385.

The spelling of 870403872 in words is "eight hundred seventy million, four hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 177 208 236 312 354 416 472 624 708 767 944 1248 1416 1534 1888 2301 2832 3068 4602 5664 6136 9204 11821 12272 18408 23642 24544 35463 36816 47284 70926 73632 94568 141852 153673 189136 283704 307346 378272 461019 567408 614692 697439 922038 1134816 1229384 1394878 1844076 2092317 2458768 2789756 3688152 4184634 4917536 5579512 7376304 8369268 9066707 11159024 14752608 16738536 18133414 22318048 27200121 33477072 36266828 54400242 66954144 72533656 108800484 145067312 217600968 290134624 435201936 870403872