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10972436 = 2261193233
BaseRepresentation
bin101001110110…
…110100010100
3202122110100112
4221312310110
510302104221
61031102152
7162156416
oct51666424
922573315
1010972436
116214832
123811958
132372387
1416589b6
15e6b15b
hexa76d14

10972436 has 24 divisors (see below), whose sum is σ = 19701864. Its totient is φ = 5345280.

The previous prime is 10972433. The next prime is 10972477. The reversal of 10972436 is 63427901.

10972436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 448900 + 10523536 = 670^2 + 3244^2 .

It is a Smith number, since the sum of its digits (32) 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 (10972433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46976 + ... + 47208.

It is an arithmetic number, because the mean of its divisors is an integer number (820911).

Almost surely, 210972436 is an apocalyptic number.

It is an amenable number.

10972436 is a deficient number, since it is larger than the sum of its proper divisors (8729428).

10972436 is a wasteful number, since it uses less digits than its factorization.

10972436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 10972436 is about 3312.4667545501. The cubic root of 10972436 is about 222.2120906862.

The spelling of 10972436 in words is "ten million, nine hundred seventy-two thousand, four hundred thirty-six".

Divisors: 1 2 4 61 122 193 233 244 386 466 772 932 11773 14213 23546 28426 44969 47092 56852 89938 179876 2743109 5486218 10972436