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12932000 = 25535361
BaseRepresentation
bin110001010101…
…001110100000
3220100000100222
4301111032200
511302311000
61141102212
7214630424
oct61251640
926300328
1012932000
117333004
1243b7968
1328aa293
141a08b84
151206a85
hexc553a0

12932000 has 96 divisors (see below), whose sum is σ = 32904144. Its totient is φ = 4992000.

The previous prime is 12931987. The next prime is 12932021. The reversal of 12932000 is 23921.

It can be written as a sum of positive squares in 8 ways, for example, as 784 + 12931216 = 28^2 + 3596^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12932000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211970 + ... + 212030.

Almost surely, 212932000 is an apocalyptic number.

12932000 is a gapful number since it is divisible by the number (10) 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 12932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).

12932000 is an abundant number, since it is smaller than the sum of its proper divisors (19972144).

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

12932000 is an equidigital number, since it uses as much as digits as its factorization.

12932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 12932000 is about 3596.1090083589. The cubic root of 12932000 is about 234.7227755525.

Adding to 12932000 its reverse (23921), we get a palindrome (12955921).

The spelling of 12932000 in words is "twelve million, nine hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 61 80 100 106 122 125 160 200 212 244 250 265 305 400 424 488 500 530 610 800 848 976 1000 1060 1220 1325 1525 1696 1952 2000 2120 2440 2650 3050 3233 4000 4240 4880 5300 6100 6466 6625 7625 8480 9760 10600 12200 12932 13250 15250 16165 21200 24400 25864 26500 30500 32330 42400 48800 51728 53000 61000 64660 80825 103456 106000 122000 129320 161650 212000 244000 258640 323300 404125 517280 646600 808250 1293200 1616500 2586400 3233000 6466000 12932000