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132002320 = 2454735107
BaseRepresentation
bin1111101111000…
…11001000010000
3100012101102010211
413313203020100
5232243033240
621033133504
73162000262
oct767431020
9305342124
10132002320
116856a32a
123825a294
1321469ca8
1413761b32
15b8c6bea
hex7de3210

132002320 has 40 divisors (see below), whose sum is σ = 313444224. Its totient is φ = 51676032.

The previous prime is 132002257. The next prime is 132002327. The reversal of 132002320 is 23200231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1320023202 = 34849224970764800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132002320.

It is not an unprimeable number, because it can be changed into a prime (132002327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13794 + ... + 21313.

Almost surely, 2132002320 is an apocalyptic number.

132002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132002320 is an abundant number, since it is smaller than the sum of its proper divisors (181441904).

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

132002320 is a wasteful number, since it uses less digits than its factorization.

132002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35167 (or 35161 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 132002320 is about 11489.2262576729. The cubic root of 132002320 is about 509.1673199315.

Adding to 132002320 its reverse (23200231), we get a palindrome (155202551).

The spelling of 132002320 in words is "one hundred thirty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 35107 70214 140428 175535 280856 351070 561712 702140 1404280 1650029 2808560 3300058 6600116 8250145 13200232 16500290 26400464 33000580 66001160 132002320