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132020364 = 223710914419
BaseRepresentation
bin1111101111001…
…11100010001100
3100012102022220010
413313213202030
5232244122424
621033353220
73162104010
oct767474214
9305368803
10132020364
1168581943
1238268810
1321475278
1413768540
15b8cc229
hex7de788c

132020364 has 48 divisors (see below), whose sum is σ = 355308800. Its totient is φ = 37371456.

The previous prime is 132020327. The next prime is 132020377. The reversal of 132020364 is 463020231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 132020364.

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, 1947 + ... + 16365.

Almost surely, 2132020364 is an apocalyptic number.

132020364 is a gapful number since it is divisible by the number (14) 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 132020364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177654400).

132020364 is an abundant number, since it is smaller than the sum of its proper divisors (223288436).

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

132020364 is a wasteful number, since it uses less digits than its factorization.

132020364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14542 (or 14540 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 132020364 is about 11490.0114882449. The cubic root of 132020364 is about 509.1905190099.

Adding to 132020364 its reverse (463020231), we get a palindrome (595040595).

The spelling of 132020364 in words is "one hundred thirty-two million, twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 1308 1526 2289 3052 4578 9156 14419 28838 43257 57676 86514 100933 173028 201866 302799 403732 605598 1211196 1571671 3143342 4715013 6286684 9430026 11001697 18860052 22003394 33005091 44006788 66010182 132020364