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10977813 = 3272113173
BaseRepresentation
bin101001111000…
…001000010101
3202122201201200
4221320020111
510302242223
61031143113
7162211200
oct51701025
922581650
1010977813
116218880
123814a99
132374962
14165a937
15e6ca43
hexa78215

10977813 has 72 divisors (see below), whose sum is σ = 21056256. Its totient is φ = 5443200.

The previous prime is 10977809. The next prime is 10977821. The reversal of 10977813 is 31877901.

It is not a de Polignac number, because 10977813 - 22 = 10977809 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10977823) 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, 150345 + ... + 150417.

It is an arithmetic number, because the mean of its divisors is an integer number (292448).

Almost surely, 210977813 is an apocalyptic number.

It is an amenable number.

10977813 is a deficient number, since it is larger than the sum of its proper divisors (10078443).

10977813 is a wasteful number, since it uses less digits than its factorization.

10977813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 10977813 is about 3313.2782859277. The cubic root of 10977813 is about 222.2483828183.

The spelling of 10977813 in words is "ten million, nine hundred seventy-seven thousand, eight hundred thirteen".

Divisors: 1 3 7 9 11 21 31 33 49 63 73 77 93 99 147 217 219 231 279 341 441 511 539 651 657 693 803 1023 1519 1533 1617 1953 2263 2387 2409 3069 3577 4557 4599 4851 5621 6789 7161 7227 10731 13671 15841 16709 16863 20367 21483 24893 32193 39347 47523 50127 50589 74679 110887 118041 142569 150381 174251 224037 332661 354123 522753 997983 1219757 1568259 3659271 10977813