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870001164 = 2232671073371
BaseRepresentation
bin110011110110110…
…010101000001100
32020122001122020100
4303312302220030
53240210014124
6222155051100
730362613354
oct6366625014
92218048210
10870001164
1140710282a
12203440a90
1310b3220b6
148378bb64
15515a31c9
hex33db2a0c

870001164 has 72 divisors (see below), whose sum is σ = 2253521088. Its totient is φ = 282918240.

The previous prime is 870001157. The next prime is 870001211. The reversal of 870001164 is 461100078.

It is a happy number.

870001164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8700011642 = 1513804050722709792, which contains 22 as substring.

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, 256399 + ... + 259769.

It is an arithmetic number, because the mean of its divisors is an integer number (31298904).

Almost surely, 2870001164 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 870001164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126760544).

870001164 is an abundant number, since it is smaller than the sum of its proper divisors (1383519924).

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

870001164 is a wasteful number, since it uses less digits than its factorization.

870001164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 870001164 is about 29495.7821391466. The cubic root of 870001164 is about 954.6406966834.

The spelling of 870001164 in words is "eight hundred seventy million, one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 107 134 201 214 268 321 402 428 603 642 804 963 1206 1284 1926 2412 3371 3852 6742 7169 10113 13484 14338 20226 21507 28676 30339 40452 43014 60678 64521 86028 121356 129042 225857 258084 360697 451714 677571 721394 903428 1082091 1355142 1442788 2032713 2164182 2710284 3246273 4065426 4328364 6492546 8130852 12985092 24166699 48333398 72500097 96666796 145000194 217500291 290000388 435000582 870001164