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11992752 = 2433172371
BaseRepresentation
bin101101101111…
…111010110000
3211120021222000
4231233322300
511032232002
61105014000
7203636202
oct55577260
924507860
1011992752
116851372
124024300
13263b905
141842772
1510bd61c
hexb6feb0

11992752 has 160 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3548160.

The previous prime is 11992741. The next prime is 11992793. The reversal of 11992752 is 25729911.

It is a super-2 number, since 2×119927522 = 287652201067008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168877 + ... + 168947.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 211992752 is an apocalyptic number.

11992752 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 11992752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

11992752 is an abundant number, since it is smaller than the sum of its proper divisors (26576208).

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

11992752 is a wasteful number, since it uses less digits than its factorization.

11992752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 11992752 is about 3463.0552984323. The cubic root of 11992752 is about 228.8967454005.

The spelling of 11992752 in words is "eleven million, nine hundred ninety-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 27 34 36 46 48 51 54 68 69 71 72 92 102 108 136 138 142 144 153 184 204 207 213 216 272 276 284 306 368 391 408 414 426 432 459 552 568 612 621 639 782 816 828 852 918 1104 1136 1173 1207 1224 1242 1278 1564 1633 1656 1704 1836 1917 2346 2414 2448 2484 2556 3128 3266 3312 3408 3519 3621 3672 3834 4692 4828 4899 4968 5112 6256 6532 7038 7242 7344 7668 9384 9656 9798 9936 10224 10557 10863 13064 14076 14484 14697 15336 18768 19312 19596 21114 21726 26128 27761 28152 28968 29394 30672 32589 39192 42228 43452 44091 55522 56304 57936 58788 65178 78384 83283 84456 86904 88182 111044 117576 130356 166566 168912 173808 176364 222088 235152 249849 260712 333132 352728 444176 499698 521424 666264 705456 749547 999396 1332528 1499094 1998792 2998188 3997584 5996376 11992752