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876013164 = 2233131932839
BaseRepresentation
bin110100001101101…
…110011001101100
32021001101002011000
4310031232121230
53243224410124
6222532000300
730464663145
oct6415563154
92231332130
10876013164
1140a539724
12205460090
1310c6486b0
14844b4acc
1551d8e6c9
hex3436e66c

876013164 has 96 divisors (see below), whose sum is σ = 2574656000. Its totient is φ = 255348288.

The previous prime is 876013091. The next prime is 876013169. The reversal of 876013164 is 461310678.

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

It is not an unprimeable number, because it can be changed into a prime (876013169) 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, 10257 + ... + 43095.

Almost surely, 2876013164 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 876013164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287328000).

876013164 is an abundant number, since it is smaller than the sum of its proper divisors (1698642836).

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

876013164 is a wasteful number, since it uses less digits than its factorization.

876013164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32884 (or 32876 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 876013164 is about 29597.5195582333. The cubic root of 876013164 is about 956.8346133751.

The spelling of 876013164 in words is "eight hundred seventy-six million, thirteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 4446 6669 8892 13338 26676 32839 65678 98517 131356 197034 295551 394068 426907 591102 623941 853814 886653 1182204 1247882 1280721 1707628 1773306 1871823 2495764 2561442 3546612 3743646 3842163 5122884 5615469 7487292 7684326 8111233 11230938 11526489 15368652 16222466 16846407 22461876 23052978 24333699 32444932 33692814 46105956 48667398 67385628 73001097 97334796 146002194 219003291 292004388 438006582 876013164