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132430020 = 223547151311
BaseRepresentation
bin1111110010010…
…11100011000100
3100020012010211120
413321023203010
5232400230040
621050233540
73165431232
oct771134304
9306163746
10132430020
11688316a8
12384258b0
1321589878
1413833952
15b95d7d0
hex7e4b8c4

132430020 has 96 divisors (see below), whose sum is σ = 382427136. Its totient is φ = 34224000.

The previous prime is 132430009. The next prime is 132430027. The reversal of 132430020 is 20034231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (132430027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425665 + ... + 425975.

It is an arithmetic number, because the mean of its divisors is an integer number (3983616).

Almost surely, 2132430020 is an apocalyptic number.

132430020 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 132430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568).

132430020 is an abundant number, since it is smaller than the sum of its proper divisors (249997116).

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

132430020 is a wasteful number, since it uses less digits than its factorization.

132430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132430020 is about 11507.8242948005. The cubic root of 132430020 is about 509.7166438267.

Adding to 132430020 its reverse (20034231), we get a palindrome (152464251).

The spelling of 132430020 in words is "one hundred thirty-two million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 151 188 235 282 302 311 453 470 564 604 622 705 755 906 933 940 1244 1410 1510 1555 1812 1866 2265 2820 3020 3110 3732 4530 4665 6220 7097 9060 9330 14194 14617 18660 21291 28388 29234 35485 42582 43851 46961 58468 70970 73085 85164 87702 93922 106455 140883 141940 146170 175404 187844 212910 219255 234805 281766 292340 425820 438510 469610 563532 704415 877020 939220 1408830 2207167 2817660 4414334 6621501 8828668 11035835 13243002 22071670 26486004 33107505 44143340 66215010 132430020