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11300928 = 26371829
BaseRepresentation
bin101011000111…
…000001000000
3210021010221220
4223013001000
510343112203
61042115040
7165025212
oct53070100
923233856
1011300928
116419611
12394ba80
132458a52
1417025b2
15ed3653
hexac7040

11300928 has 56 divisors (see below), whose sum is σ = 30358080. Its totient is φ = 3709440.

The previous prime is 11300917. The next prime is 11300929. The reversal of 11300928 is 82900311.

It is a super-2 number, since 2×113009282 = 255421947322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11300898 and 11300907.

It is not an unprimeable number, because it can be changed into a prime (11300929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13218 + ... + 14046.

Almost surely, 211300928 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 11300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179040).

11300928 is an abundant number, since it is smaller than the sum of its proper divisors (19057152).

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

11300928 is an equidigital number, since it uses as much as digits as its factorization.

11300928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11300928 is about 3361.6852916357. The cubic root of 11300928 is about 224.4078454049.

The spelling of 11300928 in words is "eleven million, three hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 829 852 1136 1658 1704 2272 2487 3316 3408 4544 4974 6632 6816 9948 13264 13632 19896 26528 39792 53056 58859 79584 117718 159168 176577 235436 353154 470872 706308 941744 1412616 1883488 2825232 3766976 5650464 11300928