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11927472 = 2431747311
BaseRepresentation
bin101101011111…
…111110110000
3211102222102020
4231133332300
511023134342
61103351440
7203244654
oct55377660
924388366
1011927472
116807317
123bb2580
132617c9b
141826a64
1510a90ec
hexb5ffb0

11927472 has 80 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 3650560.

The previous prime is 11927471. The next prime is 11927473. The reversal of 11927472 is 27472911.

It is an interprime number because it is at equal distance from previous prime (11927471) and next prime (11927473).

It is not an unprimeable number, because it can be changed into a prime (11927471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38197 + ... + 38507.

Almost surely, 211927472 is an apocalyptic number.

11927472 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 11927472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

11927472 is an abundant number, since it is smaller than the sum of its proper divisors (21498960).

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

11927472 is a wasteful number, since it uses less digits than its factorization.

11927472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 11927472 is about 3453.6172341474. The cubic root of 11927472 is about 228.4806726004.

The spelling of 11927472 in words is "eleven million, nine hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 311 376 408 564 622 752 799 816 933 1128 1244 1598 1866 2256 2397 2488 3196 3732 4794 4976 5287 6392 7464 9588 10574 12784 14617 14928 15861 19176 21148 29234 31722 38352 42296 43851 58468 63444 84592 87702 116936 126888 175404 233872 248489 253776 350808 496978 701616 745467 993956 1490934 1987912 2981868 3975824 5963736 11927472