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11308572 = 22341119167
BaseRepresentation
bin101011001000…
…111000011100
3210021112110000
4223020320130
510343333242
61042214300
7165056412
oct53107034
923245400
1011308572
116424330
123954390
13245c382
1417052b2
15ed5a4c
hexac8e1c

11308572 has 120 divisors (see below), whose sum is σ = 34151040. Its totient is φ = 3227040.

The previous prime is 11308567. The next prime is 11308597. The reversal of 11308572 is 27580311.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67633 + ... + 67799.

It is an arithmetic number, because the mean of its divisors is an integer number (284592).

Almost surely, 211308572 is an apocalyptic number.

11308572 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 11308572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520).

11308572 is an abundant number, since it is smaller than the sum of its proper divisors (22842468).

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

11308572 is a wasteful number, since it uses less digits than its factorization.

11308572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11308572 is about 3362.8220291892. The cubic root of 11308572 is about 224.4584308363.

Adding to 11308572 its reverse (27580311), we get a palindrome (38888883).

The spelling of 11308572 in words is "eleven million, three hundred eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 167 171 198 209 228 297 324 334 342 396 418 501 513 594 627 668 684 836 891 1002 1026 1188 1254 1503 1539 1782 1837 1881 2004 2052 2508 3006 3078 3173 3564 3674 3762 4509 5511 5643 6012 6156 6346 7348 7524 9018 9519 11022 11286 12692 13527 16533 16929 18036 19038 22044 22572 27054 28557 33066 33858 34903 38076 49599 54108 57114 66132 67716 69806 85671 99198 104709 114228 139612 148797 171342 198396 209418 257013 297594 314127 342684 418836 514026 595188 628254 942381 1028052 1256508 1884762 2827143 3769524 5654286 11308572