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132201630 = 232511413257
BaseRepresentation
bin1111110000100…
…11110010011110
3100012202112112200
413320103302132
5232320423010
621041312330
73163460331
oct770236236
9305675480
10132201630
1168696050
12383356a6
1321509922
14137b4618
15b915cc0
hex7e13c9e

132201630 has 96 divisors (see below), whose sum is σ = 384235488. Its totient is φ = 31257600.

The previous prime is 132201617. The next prime is 132201683. The reversal of 132201630 is 36102231.

132201630 is a `hidden beast` number, since 1 + 32 + 2 + 0 + 1 + 630 = 666.

132201630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38962 + ... + 42218.

It is an arithmetic number, because the mean of its divisors is an integer number (4002453).

Almost surely, 2132201630 is an apocalyptic number.

132201630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132201630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192117744).

132201630 is an abundant number, since it is smaller than the sum of its proper divisors (252033858).

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

132201630 is a wasteful number, since it uses less digits than its factorization.

132201630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132201630 is about 11497.8967641913. The cubic root of 132201630 is about 509.4234545849.

Adding to 132201630 its reverse (36102231), we get a palindrome (168303861).

The spelling of 132201630 in words is "one hundred thirty-two million, two hundred one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1845 2255 2706 3257 3690 4059 4510 6514 6765 8118 9771 13530 16285 19542 20295 29313 32570 35827 40590 48855 58626 71654 97710 107481 133537 146565 179135 214962 267074 293130 322443 358270 400611 537405 644886 667685 801222 1074810 1201833 1335370 1468907 1612215 2003055 2403666 2937814 3224430 4006110 4406721 6009165 7344535 8813442 12018330 13220163 14689070 22033605 26440326 44067210 66100815 132201630