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10972400 = 245227431
BaseRepresentation
bin101001110110…
…110011110000
3202122110022012
4221312303300
510302104100
61031102052
7162156335
oct51666360
922573265
1010972400
1162147aa
123811928
13237235a
14165898c
15e6b135
hexa76cf0

10972400 has 30 divisors (see below), whose sum is σ = 26362152. Its totient is φ = 4388800.

The previous prime is 10972399. The next prime is 10972417. The reversal of 10972400 is 427901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13316 + ... + 14115.

Almost surely, 210972400 is an apocalyptic number.

10972400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10972400 is an abundant number, since it is smaller than the sum of its proper divisors (15389752).

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

10972400 is a wasteful number, since it uses less digits than its factorization.

10972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27449 (or 27438 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 10972400 is about 3312.4613205289. The cubic root of 10972400 is about 222.2118476638.

The spelling of 10972400 in words is "ten million, nine hundred seventy-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 27431 54862 109724 137155 219448 274310 438896 548620 685775 1097240 1371550 2194480 2743100 5486200 10972400