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132004020 = 223519115793
BaseRepresentation
bin1111101111000…
…11100010110100
3100012101111110210
413313203202310
5232243112040
621033145420
73162005241
oct767434264
9305344423
10132004020
1168570635
123825b270
132146a9b5
14137625c8
15b8c7480
hex7de38b4

132004020 has 48 divisors (see below), whose sum is σ = 389067840. Its totient is φ = 33348096.

The previous prime is 132004009. The next prime is 132004043. The reversal of 132004020 is 20400231.

It is a super-2 number, since 2×1320040202 = 34850122592320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132003987 and 132004005.

It is a congruent number.

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, 56757 + ... + 59036.

It is an arithmetic number, because the mean of its divisors is an integer number (8105580).

Almost surely, 2132004020 is an apocalyptic number.

132004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132004020 is an abundant number, since it is smaller than the sum of its proper divisors (257063820).

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

132004020 is a wasteful number, since it uses less digits than its factorization.

132004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115824 (or 115822 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 132004020 is about 11489.3002397883. The cubic root of 132004020 is about 509.1695057030.

Adding to 132004020 its reverse (20400231), we get a palindrome (152404251).

The spelling of 132004020 in words is "one hundred thirty-two million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 115793 231586 347379 463172 578965 694758 1157930 1389516 1736895 2200067 2315860 3473790 4400134 6600201 6947580 8800268 11000335 13200402 22000670 26400804 33001005 44001340 66002010 132004020