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132897072 = 24371141877
BaseRepresentation
bin1111110101111…
…01100100110000
3100021001212111210
413322331210300
5233010201242
621104240120
73202415010
oct772754460
9307055453
10132897072
11690205a0
1238610040
13216c1329
1413915c40
15ba01d9c
hex7ebd930

132897072 has 160 divisors (see below), whose sum is σ = 438971904. Its totient is φ = 33638400.

The previous prime is 132897071. The next prime is 132897091. The reversal of 132897072 is 270798231.

132897072 = T373 + T374 + ... + T946.

It is a self number, because there is not a number n which added to its sum of digits gives 132897072.

It is not an unprimeable number, because it can be changed into a prime (132897071) 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, 151098 + ... + 151974.

Almost surely, 2132897072 is an apocalyptic number.

132897072 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 132897072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219485952).

132897072 is an abundant number, since it is smaller than the sum of its proper divisors (306074832).

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

132897072 is a wasteful number, since it uses less digits than its factorization.

132897072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 132897072 is about 11528.0992362141. The cubic root of 132897072 is about 510.3151608348.

The spelling of 132897072 in words is "one hundred thirty-two million, eight hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 41 42 44 48 56 66 77 82 84 88 112 123 132 154 164 168 176 231 246 264 287 308 328 336 451 462 492 528 574 616 656 861 877 902 924 984 1148 1232 1353 1722 1754 1804 1848 1968 2296 2631 2706 3157 3444 3508 3608 3696 4592 5262 5412 6139 6314 6888 7016 7216 9471 9647 10524 10824 12278 12628 13776 14032 18417 18942 19294 21048 21648 24556 25256 28941 35957 36834 37884 38588 42096 49112 50512 57882 67529 71914 73668 75768 77176 98224 107871 115764 135058 143828 147336 151536 154352 202587 215742 231528 251699 270116 287656 294672 395527 405174 431484 463056 503398 540232 575312 755097 791054 810348 862968 1006796 1080464 1186581 1510194 1582108 1620696 1725936 2013592 2373162 2768689 3020388 3164216 3241392 4027184 4746324 5537378 6040776 6328432 8306067 9492648 11074756 12081552 16612134 18985296 22149512 33224268 44299024 66448536 132897072