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11896520 = 2352367193
BaseRepresentation
bin101101011000…
…011011001000
3211101101221212
4231120123020
511021142040
61102552252
7203055506
oct55303310
924341855
1011896520
116796039
123b98688
132606b7c
141819676
15109ed65
hexb586c8

11896520 has 64 divisors (see below), whose sum is σ = 28494720. Its totient is φ = 4460544.

The previous prime is 11896517. The next prime is 11896523. The reversal of 11896520 is 2569811.

It is an interprime number because it is at equal distance from previous prime (11896517) and next prime (11896523).

It is a super-2 number, since 2×118965202 = 283054376220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11896523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61544 + ... + 61736.

It is an arithmetic number, because the mean of its divisors is an integer number (445230).

Almost surely, 211896520 is an apocalyptic number.

11896520 is a gapful number since it is divisible by the number (10) 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 11896520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14247360).

11896520 is an abundant number, since it is smaller than the sum of its proper divisors (16598200).

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

11896520 is a wasteful number, since it uses less digits than its factorization.

11896520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 11896520 is about 3449.1332244493. The cubic root of 11896520 is about 228.2828642725.

The spelling of 11896520 in words is "eleven million, eight hundred ninety-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 67 92 115 134 184 193 230 268 335 386 460 536 670 772 920 965 1340 1541 1544 1930 2680 3082 3860 4439 6164 7705 7720 8878 12328 12931 15410 17756 22195 25862 30820 35512 44390 51724 61640 64655 88780 103448 129310 177560 258620 297413 517240 594826 1189652 1487065 2379304 2974130 5948260 11896520