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132002640 = 243257112381
BaseRepresentation
bin1111101111000…
…11001101010000
3100012101102120200
413313203031100
5232243041030
621033135200
73162001230
oct767431520
9305342520
10132002640
116856a5a0
123825a500
132146a193
1413761cc0
15b8c6d60
hex7de3350

132002640 has 240 divisors, whose sum is σ = 552928896. Its totient is φ = 27417600.

The previous prime is 132002639. The next prime is 132002641. The reversal of 132002640 is 46200231.

It is a happy number.

132002640 is a `hidden beast` number, since 1 + 3 + 20 + 0 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (132002639) and next prime (132002641).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54250 + ... + 56630.

Almost surely, 2132002640 is an apocalyptic number.

132002640 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 132002640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276464448).

132002640 is an abundant number, since it is smaller than the sum of its proper divisors (420926256).

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

132002640 is a wasteful number, since it uses less digits than its factorization.

132002640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132002640 is about 11489.2401837545. The cubic root of 132002640 is about 509.1677313722.

Adding to 132002640 its reverse (46200231), we get a palindrome (178202871).

The spelling of 132002640 in words is "one hundred thirty-two million, two thousand, six hundred forty".