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11357712 = 243361431
BaseRepresentation
bin101011010100…
…111000010000
3210101000212000
4223110320100
510401421322
61043234000
7165352602
oct53247020
923330760
1011357712
116458243
123978900
132478852
141719172
15ee53ac
hexad4e10

11357712 has 80 divisors (see below), whose sum is σ = 33212160. Its totient is φ = 3715200.

The previous prime is 11357701. The next prime is 11357771. The reversal of 11357712 is 21775311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26137 + ... + 26567.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 211357712 is an apocalyptic number.

11357712 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 11357712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

11357712 is an abundant number, since it is smaller than the sum of its proper divisors (21854448).

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

11357712 is a wasteful number, since it uses less digits than its factorization.

11357712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 11357712 is about 3370.1204726241. The cubic root of 11357712 is about 224.7830798256.

The spelling of 11357712 in words is "eleven million, three hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 431 432 488 549 732 862 976 1098 1293 1464 1647 1724 2196 2586 2928 3294 3448 3879 4392 5172 6588 6896 7758 8784 10344 11637 13176 15516 20688 23274 26291 26352 31032 46548 52582 62064 78873 93096 105164 157746 186192 210328 236619 315492 420656 473238 630984 709857 946476 1261968 1419714 1892952 2839428 3785904 5678856 11357712