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12978693 = 3271322353
BaseRepresentation
bin110001100000…
…101000000101
3220102101102100
4301200220011
511310304233
61142102313
7215213520
oct61405005
926371370
1012978693
1173650a2
12441a999
1328c5600
141a1bbb7
151215813
hexc60a05

12978693 has 72 divisors (see below), whose sum is σ = 24665472. Its totient is φ = 6424704.

The previous prime is 12978683. The next prime is 12978709. The reversal of 12978693 is 39687921.

It is not a de Polignac number, because 12978693 - 26 = 12978629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12978613) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244855 + ... + 244907.

It is an arithmetic number, because the mean of its divisors is an integer number (342576).

Almost surely, 212978693 is an apocalyptic number.

12978693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12978693 is a deficient number, since it is larger than the sum of its proper divisors (11686779).

12978693 is a wasteful number, since it uses less digits than its factorization.

12978693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 12978693 is about 3602.5953144920. The cubic root of 12978693 is about 235.0049372737.

The spelling of 12978693 in words is "twelve million, nine hundred seventy-eight thousand, six hundred ninety-three".

Divisors: 1 3 7 9 13 21 23 39 53 63 69 91 117 159 161 169 207 273 299 371 477 483 507 689 819 897 1113 1183 1219 1449 1521 2067 2093 2691 3339 3549 3657 3887 4823 6201 6279 8533 8957 10647 10971 11661 14469 15847 18837 25599 26871 27209 34983 43407 47541 62699 76797 80613 81627 110929 142623 188097 206011 244881 332787 564291 618033 998361 1442077 1854099 4326231 12978693