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132150320 = 24519227383
BaseRepresentation
bin1111110000001…
…11010000110000
3100012122221011022
413320013100300
5232312302240
621040235012
73163154621
oct770072060
9305587138
10132150320
1168660545
123830ba68
13214bc473
141379da48
15b9059b5
hex7e07430

132150320 has 80 divisors (see below), whose sum is σ = 325693440. Its totient is φ = 49727232.

The previous prime is 132150313. The next prime is 132150349. The reversal of 132150320 is 23051231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1321503202 = 34927414152204800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344849 + ... + 345231.

It is an arithmetic number, because the mean of its divisors is an integer number (4071168).

Almost surely, 2132150320 is an apocalyptic number.

132150320 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 132150320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

132150320 is an abundant number, since it is smaller than the sum of its proper divisors (193543120).

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

132150320 is a wasteful number, since it uses less digits than its factorization.

132150320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 132150320 is about 11495.6652700050. The cubic root of 132150320 is about 509.3575403703.

The spelling of 132150320 in words is "one hundred thirty-two million, one hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 227 304 380 383 454 760 766 908 1135 1520 1532 1816 1915 2270 3064 3632 3830 4313 4540 6128 7277 7660 8626 9080 14554 15320 17252 18160 21565 29108 30640 34504 36385 43130 58216 69008 72770 86260 86941 116432 145540 172520 173882 291080 345040 347764 434705 582160 695528 869410 1391056 1651879 1738820 3303758 3477640 6607516 6955280 8259395 13215032 16518790 26430064 33037580 66075160 132150320