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132443430 = 235717231613
BaseRepresentation
bin1111110010011…
…10110100100110
3100020012211020020
413321032310212
5232401142210
621050420010
73165515310
oct771166446
9306184206
10132443430
1168840789
1238431606
13215929c2
14138387b0
15b962770
hex7e4ed26

132443430 has 128 divisors (see below), whose sum is σ = 401614848. Its totient is φ = 27236352.

The previous prime is 132443417. The next prime is 132443497. The reversal of 132443430 is 34344231.

It is a self number, because there is not a number n which added to its sum of digits gives 132443430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81304 + ... + 82916.

It is an arithmetic number, because the mean of its divisors is an integer number (3137616).

Almost surely, 2132443430 is an apocalyptic number.

132443430 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 132443430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200807424).

132443430 is an abundant number, since it is smaller than the sum of its proper divisors (269171418).

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

132443430 is a wasteful number, since it uses less digits than its factorization.

132443430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 132443430 is about 11508.4069271120. The cubic root of 132443430 is about 509.7338480565.

Adding to 132443430 its reverse (34344231), we get a palindrome (166787661).

The spelling of 132443430 in words is "one hundred thirty-two million, four hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 23 30 34 35 42 46 51 69 70 85 102 105 115 119 138 161 170 210 230 238 255 322 345 357 391 483 510 595 690 714 782 805 966 1173 1190 1610 1613 1785 1955 2346 2415 2737 3226 3570 3910 4830 4839 5474 5865 8065 8211 9678 11291 11730 13685 16130 16422 22582 24195 27370 27421 33873 37099 41055 48390 54842 56455 67746 74198 82110 82263 111297 112910 137105 164526 169365 185495 191947 222594 259693 274210 338730 370990 383894 411315 519386 556485 575841 630683 779079 822630 959735 1112970 1151682 1261366 1298465 1558158 1892049 1919470 2596930 2879205 3153415 3784098 3895395 4414781 5758410 6306830 7790790 8829562 9460245 13244343 18920490 22073905 26488686 44147810 66221715 132443430