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132268080 = 24357131601
BaseRepresentation
bin1111110001001…
…00000000110000
3100012212220200210
413320210000300
5232330034310
621042544120
73164155140
oct770440060
9305786623
10132268080
1168730a6a
1238368040
1321530c49
14137d0920
15b92a820
hex7e24030

132268080 has 160 divisors (see below), whose sum is σ = 472969728. Its totient is φ = 29952000.

The previous prime is 132268067. The next prime is 132268099. The reversal of 132268080 is 80862231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 219780 + ... + 220380.

Almost surely, 2132268080 is an apocalyptic number.

132268080 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 132268080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236484864).

132268080 is an abundant number, since it is smaller than the sum of its proper divisors (340701648).

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

132268080 is a wasteful number, since it uses less digits than its factorization.

132268080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 132268080 is about 11500.7860600917. The cubic root of 132268080 is about 509.5087927119.

The spelling of 132268080 in words is "one hundred thirty-two million, two hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 131 140 168 210 240 262 280 336 393 420 524 560 601 655 786 840 917 1048 1202 1310 1572 1680 1803 1834 1965 2096 2404 2620 2751 3005 3144 3606 3668 3930 4207 4585 4808 5240 5502 6010 6288 7212 7336 7860 8414 9015 9170 9616 10480 11004 12020 12621 13755 14424 14672 15720 16828 18030 18340 21035 22008 24040 25242 27510 28848 31440 33656 36060 36680 42070 44016 48080 50484 55020 63105 67312 72120 73360 78731 84140 100968 110040 126210 144240 157462 168280 201936 220080 236193 252420 314924 336560 393655 472386 504840 551117 629848 787310 944772 1009680 1102234 1180965 1259696 1574620 1653351 1889544 2204468 2361930 2755585 3149240 3306702 3779088 4408936 4723860 5511170 6298480 6613404 8266755 8817872 9447720 11022340 13226808 16533510 18895440 22044680 26453616 33067020 44089360 66134040 132268080