Search a number
-
+
132757350 = 235211611319
BaseRepresentation
bin1111110100110…
…11011101100110
3100020210202211220
413322123131212
5232441213400
621101241210
73201263445
oct772333546
9306722756
10132757350
1168a35620
1238563206
132167285b
14138bad5c
15b9c57a0
hex7e9b766

132757350 has 96 divisors (see below), whose sum is σ = 365333760. Its totient is φ = 31632000.

The previous prime is 132757349. The next prime is 132757363. The reversal of 132757350 is 53757231.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 99991 + ... + 101309.

It is an arithmetic number, because the mean of its divisors is an integer number (3805560).

Almost surely, 2132757350 is an apocalyptic number.

132757350 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 132757350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

132757350 is an abundant number, since it is smaller than the sum of its proper divisors (232576410).

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

132757350 is a wasteful number, since it uses less digits than its factorization.

132757350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 132757350 is about 11522.0375802199. The cubic root of 132757350 is about 510.1362573259.

The spelling of 132757350 in words is "one hundred thirty-two million, seven hundred fifty-seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 61 66 75 110 122 150 165 183 275 305 330 366 550 610 671 825 915 1319 1342 1525 1650 1830 2013 2638 3050 3355 3957 4026 4575 6595 6710 7914 9150 10065 13190 14509 16775 19785 20130 29018 32975 33550 39570 43527 50325 65950 72545 80459 87054 98925 100650 145090 160918 197850 217635 241377 362725 402295 435270 482754 725450 804590 885049 1088175 1206885 1770098 2011475 2176350 2413770 2655147 4022950 4425245 5310294 6034425 8850490 12068850 13275735 22126225 26551470 44252450 66378675 132757350