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11300916 = 22311243181
BaseRepresentation
bin101011000111…
…000000110100
3210021010221110
4223013000310
510343112131
61042115020
7165025164
oct53070064
923233843
1011300916
116419600
12394ba70
132458a43
1417025a4
15ed3646
hexac7034

11300916 has 72 divisors (see below), whose sum is σ = 29821792. Its totient is φ = 3326400.

The previous prime is 11300899. The next prime is 11300917. The reversal of 11300916 is 61900311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11300892 and 11300901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62346 + ... + 62526.

Almost surely, 211300916 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 11300916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910896).

11300916 is an abundant number, since it is smaller than the sum of its proper divisors (18520876).

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

11300916 is a wasteful number, since it uses less digits than its factorization.

11300916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 11300916 is about 3361.6835068162. The cubic root of 11300916 is about 224.4077659750.

The spelling of 11300916 in words is "eleven million, three hundred thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 121 129 132 172 181 242 258 362 363 473 484 516 543 724 726 946 1086 1419 1452 1892 1991 2172 2838 3982 5203 5676 5973 7783 7964 10406 11946 15566 15609 20812 21901 23349 23892 31132 31218 43802 46698 62436 65703 85613 87604 93396 131406 171226 256839 262812 342452 513678 941743 1027356 1883486 2825229 3766972 5650458 11300916