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11921712 = 2431167337
BaseRepresentation
bin101101011110…
…100100110000
3211102200111220
4231132210300
511022443322
61103305040
7203222115
oct55364460
924380456
1011921712
116802a60
123bab180
13261548a
14182490c
1510a755c
hexb5e930

11921712 has 80 divisors (see below), whose sum is σ = 34200192. Its totient is φ = 3548160.

The previous prime is 11921699. The next prime is 11921713. The reversal of 11921712 is 21712911.

11921712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11921713) 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, 35208 + ... + 35544.

Almost surely, 211921712 is an apocalyptic number.

11921712 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 11921712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100096).

11921712 is an abundant number, since it is smaller than the sum of its proper divisors (22278480).

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

11921712 is a wasteful number, since it uses less digits than its factorization.

11921712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its digits is 252, while the sum is 24.

The square root of 11921712 is about 3452.7832251678. The cubic root of 11921712 is about 228.4438874772.

The spelling of 11921712 in words is "eleven million, nine hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 176 201 264 268 337 402 528 536 674 737 804 1011 1072 1348 1474 1608 2022 2211 2696 2948 3216 3707 4044 4422 5392 5896 7414 8088 8844 11121 11792 14828 16176 17688 22242 22579 29656 35376 44484 45158 59312 67737 88968 90316 135474 177936 180632 248369 270948 361264 496738 541896 745107 993476 1083792 1490214 1986952 2980428 3973904 5960856 11921712