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12190932 = 22331319457
BaseRepresentation
bin101110100000…
…010011010100
3211221100211000
4232200103110
511110102212
61113143300
7205423035
oct56402324
924840730
1012190932
116977256
1240bab30
1326aab90
141894a8c
15110c1dc
hexba04d4

12190932 has 96 divisors (see below), whose sum is σ = 35907200. Its totient is φ = 3545856.

The previous prime is 12190931. The next prime is 12190949. The reversal of 12190932 is 23909121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12190896 and 12190905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12190931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26448 + ... + 26904.

Almost surely, 212190932 is an apocalyptic number.

12190932 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 12190932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953600).

12190932 is an abundant number, since it is smaller than the sum of its proper divisors (23716268).

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

12190932 is a wasteful number, since it uses less digits than its factorization.

12190932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12190932 is about 3491.5515175921. The cubic root of 12190932 is about 230.1507014873.

The spelling of 12190932 in words is "twelve million, one hundred ninety thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 457 468 494 513 684 702 741 914 988 1026 1371 1404 1482 1828 2052 2223 2742 2964 4113 4446 5484 5941 6669 8226 8683 8892 11882 12339 13338 16452 17366 17823 23764 24678 26049 26676 34732 35646 49356 52098 53469 71292 78147 104196 106938 112879 156294 160407 213876 225758 234441 312588 320814 338637 451516 468882 641628 677274 937764 1015911 1354548 2031822 3047733 4063644 6095466 12190932