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132020664 = 23319436733
BaseRepresentation
bin1111101111001…
…11100110111000
3100012102100022020
413313213212320
5232244130124
621033354440
73162104616
oct767474670
9305370266
10132020664
1168582096
1238268a20
1321475449
14137686b6
15b8cc379
hex7de79b8

132020664 has 64 divisors (see below), whose sum is σ = 355555200. Its totient is φ = 40715136.

The previous prime is 132020663. The next prime is 132020687. The reversal of 132020664 is 466020231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132020663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16242 + ... + 22974.

It is an arithmetic number, because the mean of its divisors is an integer number (5555550).

Almost surely, 2132020664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132020664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177777600).

132020664 is an abundant number, since it is smaller than the sum of its proper divisors (223534536).

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

132020664 is a wasteful number, since it uses less digits than its factorization.

132020664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 132020664 is about 11490.0245430547. The cubic root of 132020664 is about 509.1909047005.

Adding to 132020664 its reverse (466020231), we get a palindrome (598040895).

The spelling of 132020664 in words is "one hundred thirty-two million, twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2451 3268 4902 6536 6733 9804 13466 19608 20199 26932 40398 53864 80796 127927 161592 255854 289519 383781 511708 579038 767562 868557 1023416 1158076 1535124 1737114 2316152 3070248 3474228 5500861 6948456 11001722 16502583 22003444 33005166 44006888 66010332 132020664