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10713472 = 277111087
BaseRepresentation
bin101000110111…
…100110000000
3202011022010021
4220313212000
510220312342
61021343224
7160030420
oct50674600
922138107
1010713472
116058210
123707b14
1322b1543
1415cc480
15e19567
hexa37980

10713472 has 64 divisors (see below), whose sum is σ = 26634240. Its totient is φ = 4170240.

The previous prime is 10713467. The next prime is 10713481. The reversal of 10713472 is 27431701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×107134722 = 229556964589568, which contains 22 as substring.

It is a congruent number.

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, 9313 + ... + 10399.

It is an arithmetic number, because the mean of its divisors is an integer number (416160).

Almost surely, 210713472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317120).

10713472 is an abundant number, since it is smaller than the sum of its proper divisors (15920768).

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

10713472 is a wasteful number, since it uses less digits than its factorization.

10713472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 10713472 is about 3273.1440542695. The cubic root of 10713472 is about 220.4499880577.

The spelling of 10713472 in words is "ten million, seven hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1087 1232 1408 2174 2464 4348 4928 7609 8696 9856 11957 15218 17392 23914 30436 34784 47828 60872 69568 83699 95656 121744 139136 167398 191312 243488 334796 382624 486976 669592 765248 973952 1339184 1530496 2678368 5356736 10713472