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11922984 = 2333172191
BaseRepresentation
bin101101011110…
…111000101000
3211102202021000
4231132320220
511023013414
61103315000
7203225613
oct55367050
924382230
1011922984
116803a07
123baba60
132615c28
14182517a
1510a7b09
hexb5ee28

11922984 has 96 divisors (see below), whose sum is σ = 35366400. Its totient is φ = 3720960.

The previous prime is 11922979. The next prime is 11923019. The reversal of 11922984 is 48922911.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62329 + ... + 62519.

It is an arithmetic number, because the mean of its divisors is an integer number (368400).

Almost surely, 211922984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11922984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683200).

11922984 is an abundant number, since it is smaller than the sum of its proper divisors (23443416).

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

11922984 is a wasteful number, since it uses less digits than its factorization.

11922984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11922984 is about 3452.9674194814. The cubic root of 11922984 is about 228.4520118778.

The spelling of 11922984 in words is "eleven million, nine hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 191 204 216 289 306 382 408 459 573 578 612 764 867 918 1146 1156 1224 1528 1719 1734 1836 2292 2312 2601 3247 3438 3468 3672 4584 5157 5202 6494 6876 6936 7803 9741 10314 10404 12988 13752 15606 19482 20628 20808 25976 29223 31212 38964 41256 55199 58446 62424 77928 87669 110398 116892 165597 175338 220796 233784 331194 350676 441592 496791 662388 701352 993582 1324776 1490373 1987164 2980746 3974328 5961492 11922984