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132079920 = 24357292711
BaseRepresentation
bin1111101111101…
…10000100110000
3100012112100120220
413313312010300
5232303024140
621034533040
73162442440
oct767660460
9305470526
10132079920
1168612665
1238297180
13214963cb
1413782120
15b8debd0
hex7df6130

132079920 has 160 divisors (see below), whose sum is σ = 484254720. Its totient is φ = 29137920.

The previous prime is 132079907. The next prime is 132079979. The reversal of 132079920 is 29970231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47365 + ... + 50075.

It is an arithmetic number, because the mean of its divisors is an integer number (3026592).

Almost surely, 2132079920 is an apocalyptic number.

132079920 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 132079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242127360).

132079920 is an abundant number, since it is smaller than the sum of its proper divisors (352174800).

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

132079920 is a wasteful number, since it uses less digits than its factorization.

132079920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 132079920 is about 11492.6028383478. The cubic root of 132079920 is about 509.2670748551.

The spelling of 132079920 in words is "one hundred thirty-two million, seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 2711 3045 3248 3480 4060 4872 5422 6090 6960 8120 8133 9744 10844 12180 13555 16240 16266 18977 21688 24360 27110 32532 37954 40665 43376 48720 54220 56931 65064 75908 78619 81330 94885 108440 113862 130128 151816 157238 162660 189770 216880 227724 235857 284655 303632 314476 325320 379540 393095 455448 471714 550333 569310 628952 650640 759080 786190 910896 943428 1100666 1138620 1179285 1257904 1518160 1572380 1650999 1886856 2201332 2277240 2358570 2751665 3144760 3301998 3773712 4402664 4554480 4717140 5503330 6289520 6603996 8254995 8805328 9434280 11006660 13207992 16509990 18868560 22013320 26415984 33019980 44026640 66039960 132079920