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10973472 = 253151757
BaseRepresentation
bin101001110111…
…000100100000
3202122111202220
4221313010200
510302122342
61031111040
7162162426
oct51670440
922574686
1010973472
116215594
123812480
1323729a3
141659116
15e6b5ec
hexa77120

10973472 has 48 divisors (see below), whose sum is σ = 29034432. Its totient is φ = 3628800.

The previous prime is 10973447. The next prime is 10973503. The reversal of 10973472 is 27437901.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14118 + ... + 14874.

It is an arithmetic number, because the mean of its divisors is an integer number (604884).

Almost surely, 210973472 is an apocalyptic number.

10973472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10973472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517216).

10973472 is an abundant number, since it is smaller than the sum of its proper divisors (18060960).

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

10973472 is a wasteful number, since it uses less digits than its factorization.

10973472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 10973472 is about 3312.6231297870. The cubic root of 10973472 is about 222.2190841038.

The spelling of 10973472 in words is "ten million, nine hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 757 906 1208 1514 1812 2271 2416 3028 3624 4542 4832 6056 7248 9084 12112 14496 18168 24224 36336 72672 114307 228614 342921 457228 685842 914456 1371684 1828912 2743368 3657824 5486736 10973472