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132946944 = 2103133329
BaseRepresentation
bin1111110110010…
…01110000000000
3100021011101220220
413323021300000
5233013300234
621105303040
73203013264
oct773116000
9307141826
10132946944
1169055009
1238634a80
132170ac40
141392a0a4
15ba11a49
hex7ec9c00

132946944 has 88 divisors (see below), whose sum is σ = 381724560. Its totient is φ = 40894464.

The previous prime is 132946903. The next prime is 132946951. The reversal of 132946944 is 449649231.

It is a junction number, because it is equal to n+sod(n) for n = 132946896 and 132946905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38272 + ... + 41600.

Almost surely, 2132946944 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 132946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190862280).

132946944 is an abundant number, since it is smaller than the sum of its proper divisors (248777616).

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

132946944 is a wasteful number, since it uses less digits than its factorization.

132946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3347 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 132946944 is about 11530.2620958936. The cubic root of 132946944 is about 510.3789878111.

The spelling of 132946944 in words is "one hundred thirty-two million, nine hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 3329 4992 6656 6658 9984 9987 13312 13316 19968 19974 26632 39936 39948 43277 53264 79896 86554 106528 129831 159792 173108 213056 259662 319584 346216 426112 519324 639168 692432 852224 1038648 1278336 1384864 1704448 2077296 2556672 2769728 3408896 4154592 5113344 5539456 8309184 10226688 11078912 16618368 22157824 33236736 44315648 66473472 132946944