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197913768 = 233136110399
BaseRepresentation
bin10111100101111…
…10110010101000
3111210102001122120
423302332302220
5401131220033
631345551240
74622145033
oct1362766250
9453361576
10197913768
11a17985a8
1256345520
1332006850
141c3dc01a
15125961b3
hexbcbeca8

197913768 has 64 divisors (see below), whose sum is σ = 541632000. Its totient is φ = 59892480.

The previous prime is 197913767. The next prime is 197913769. The reversal of 197913768 is 867319791.

It is an interprime number because it is at equal distance from previous prime (197913767) and next prime (197913769).

It is a self number, because there is not a number n which added to its sum of digits gives 197913768.

It is not an unprimeable number, because it can be changed into a prime (197913761) 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, 13833 + ... + 24231.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2197913768 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 197913768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816000).

197913768 is an abundant number, since it is smaller than the sum of its proper divisors (343718232).

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

197913768 is a wasteful number, since it uses less digits than its factorization.

197913768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482 (or 10478 counting only the distinct ones).

The product of its digits is 571536, while the sum is 51.

The square root of 197913768 is about 14068.1828250844. The cubic root of 197913768 is about 582.7630430419.

The spelling of 197913768 in words is "one hundred ninety-seven million, nine hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 9516 10399 19032 20798 31197 41596 62394 83192 124788 135187 249576 270374 405561 540748 634339 811122 1081496 1268678 1622244 1903017 2537356 3244488 3806034 5074712 7612068 8246407 15224136 16492814 24739221 32985628 49478442 65971256 98956884 197913768