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132573012 = 2231113233359
BaseRepresentation
bin1111110011011…
…10011101010100
3100020110101222120
413321232131110
5232414314022
621053255540
73166565145
oct771563524
9306411876
10132573012
116891a080
12384945b0
1321609990
141386dacc
15b98ad5c
hex7e6e754

132573012 has 96 divisors (see below), whose sum is σ = 379330560. Its totient is φ = 35460480.

The previous prime is 132572983. The next prime is 132573029. The reversal of 132573012 is 210375231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37789 + ... + 41147.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 2132573012 is an apocalyptic number.

132573012 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 132573012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

132573012 is an abundant number, since it is smaller than the sum of its proper divisors (246757548).

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

132573012 is a wasteful number, since it uses less digits than its factorization.

132573012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 132573012 is about 11514.0354350679. The cubic root of 132573012 is about 509.9000342323.

The spelling of 132573012 in words is "one hundred thirty-two million, five hundred seventy-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 572 598 759 858 897 1012 1196 1518 1716 1794 3036 3289 3359 3588 6578 6718 9867 10077 13156 13436 19734 20154 36949 39468 40308 43667 73898 77257 87334 110847 131001 147796 154514 174668 221694 231771 262002 309028 443388 463542 480337 524004 849827 927084 960674 1004341 1441011 1699654 1921348 2008682 2549481 2882022 3013023 3399308 4017364 5098962 5764044 6026046 10197924 11047751 12052092 22095502 33143253 44191004 66286506 132573012