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870230952 = 233417197401
BaseRepresentation
bin110011110111101…
…010101110101000
32020122111022110000
4303313222232220
53240234342302
6222204023000
730364561323
oct6367525650
92218438400
10870230952
1140724a438
12203531a60
1310b3a2876
148380b7ba
15515eb31c
hex33deaba8

870230952 has 160 divisors (see below), whose sum is σ = 2600401320. Its totient is φ = 270950400.

The previous prime is 870230929. The next prime is 870230971. The reversal of 870230952 is 259032078.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 726086916 + 144144036 = 26946^2 + 12006^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2169952 + ... + 2170352.

Almost surely, 2870230952 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 870230952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300200660).

870230952 is an abundant number, since it is smaller than the sum of its proper divisors (1730170368).

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

870230952 is a wasteful number, since it uses less digits than its factorization.

870230952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 870230952 is about 29499.6771507757. The cubic root of 870230952 is about 954.7247370561.

The spelling of 870230952 in words is "eight hundred seventy million, two hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 197 204 216 306 324 394 401 408 459 591 612 648 788 802 918 1182 1203 1224 1377 1576 1604 1773 1836 2364 2406 2754 3208 3349 3546 3609 3672 4728 4812 5319 5508 6698 6817 7092 7218 9624 10047 10638 10827 11016 13396 13634 14184 14436 15957 20094 20451 21276 21654 26792 27268 28872 30141 31914 32481 40188 40902 42552 43308 54536 60282 61353 63828 64962 78997 80376 81804 86616 90423 120564 122706 127656 129924 157994 163608 180846 184059 236991 241128 245412 259848 271269 315988 361692 368118 473982 490824 542538 552177 631976 710973 723384 736236 947964 1085076 1104354 1342949 1421946 1472472 1895928 2132919 2170152 2208708 2685898 2843892 4028847 4265838 4417416 5371796 5687784 6398757 8057694 8531676 10743592 12086541 12797514 16115388 17063352 24173082 25595028 32230776 36259623 48346164 51190056 72519246 96692328 108778869 145038492 217557738 290076984 435115476 870230952