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11870964 = 22327172163
BaseRepresentation
bin101101010010…
…001011110100
3211100002220100
4231102023310
511014332324
61102234100
7202621140
oct55221364
924302810
1011870964
116778916
123b85930
1325c8351
141810220
1510974c9
hexb522f4

11870964 has 108 divisors (see below), whose sum is σ = 36653344. Its totient is φ = 3172608.

The previous prime is 11870951. The next prime is 11870983. The reversal of 11870964 is 46907811.

11870964 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72747 + ... + 72909.

Almost surely, 211870964 is an apocalyptic number.

11870964 is a gapful number since it is divisible by the number (14) 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 11870964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18326672).

11870964 is an abundant number, since it is smaller than the sum of its proper divisors (24782380).

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

11870964 is a wasteful number, since it uses less digits than its factorization.

11870964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11870964 is about 3445.4265338271. The cubic root of 11870964 is about 228.1192819984.

The spelling of 11870964 in words is "eleven million, eight hundred seventy thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 163 204 238 252 289 306 326 357 476 489 578 612 652 714 867 978 1071 1141 1156 1428 1467 1734 1956 2023 2142 2282 2601 2771 2934 3423 3468 4046 4284 4564 5202 5542 5868 6069 6846 8092 8313 10269 10404 11084 12138 13692 16626 18207 19397 20538 24276 24939 33252 36414 38794 41076 47107 49878 58191 72828 77588 94214 99756 116382 141321 174573 188428 232764 282642 329749 349146 423963 565284 659498 698292 847926 989247 1318996 1695852 1978494 2967741 3956988 5935482 11870964