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132937320 = 23351107811
BaseRepresentation
bin1111110110001…
…11011001101000
3100021010220201110
413323013121220
5233012443240
621105150320
73202643235
oct773073150
9307126643
10132937320
116904885a
123862b3a0
1321706749
141392678c
15ba0dc80
hex7ec7668

132937320 has 32 divisors (see below), whose sum is σ = 398812320. Its totient is φ = 35449920.

The previous prime is 132937283. The next prime is 132937333. The reversal of 132937320 is 23739231.

It is a super-3 number, since 3×1329373203 (a number of 25 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 553786 + ... + 554025.

It is an arithmetic number, because the mean of its divisors is an integer number (12462885).

Almost surely, 2132937320 is an apocalyptic number.

132937320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132937320 is an abundant number, since it is smaller than the sum of its proper divisors (265875000).

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

132937320 is a wasteful number, since it uses less digits than its factorization.

132937320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107825 (or 1107821 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 132937320 is about 11529.8447517735. The cubic root of 132937320 is about 510.3666721064.

The spelling of 132937320 in words is "one hundred thirty-two million, nine hundred thirty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1107811 2215622 3323433 4431244 5539055 6646866 8862488 11078110 13293732 16617165 22156220 26587464 33234330 44312440 66468660 132937320