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132001020 = 22325733339
BaseRepresentation
bin1111101111000…
…10110011111100
3100012101100100200
413313202303330
5232243013040
621033123500
73161663424
oct767426374
9305340320
10132001020
1168569358
1238259590
1321469518
1413761484
15b8c6630
hex7de2cfc

132001020 has 36 divisors (see below), whose sum is σ = 400403640. Its totient is φ = 35200224.

The previous prime is 132001003. The next prime is 132001027. The reversal of 132001020 is 20100231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 132000993 and 132001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132001027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366490 + ... + 366849.

Almost surely, 2132001020 is an apocalyptic number.

132001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132001020 is an abundant number, since it is smaller than the sum of its proper divisors (268402620).

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

132001020 is a wasteful number, since it uses less digits than its factorization.

132001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733354 (or 733349 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 132001020 is about 11489.1696827926. The cubic root of 132001020 is about 509.1656484465.

Adding to 132001020 its reverse (20100231), we get a palindrome (152101251).

The spelling of 132001020 in words is "one hundred thirty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 733339 1466678 2200017 2933356 3666695 4400034 6600051 7333390 8800068 11000085 13200102 14666780 22000170 26400204 33000255 44000340 66000510 132001020