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132421350 = 235223131293
BaseRepresentation
bin1111110010010…
…01011011100110
3100020011200221110
413321021123212
5232344440400
621050125450
73165364035
oct771113346
9306150843
10132421350
1168826136
1238420886
1321585939
141383071c
15b95ae50
hex7e496e6

132421350 has 96 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 33404800.

The previous prime is 132421339. The next prime is 132421357. The reversal of 132421350 is 53124231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132421357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451804 + ... + 452096.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2132421350 is an apocalyptic number.

132421350 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 132421350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

132421350 is an abundant number, since it is smaller than the sum of its proper divisors (214056474).

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

132421350 is a wasteful number, since it uses less digits than its factorization.

132421350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 132421350 is about 11507.4475884099. The cubic root of 132421350 is about 509.7055201158.

Adding to 132421350 its reverse (53124231), we get a palindrome (185545581).

The spelling of 132421350 in words is "one hundred thirty-two million, four hundred twenty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 131 138 150 230 262 293 345 393 575 586 655 690 786 879 1150 1310 1465 1725 1758 1965 2930 3013 3275 3450 3930 4395 6026 6550 6739 7325 8790 9039 9825 13478 14650 15065 18078 19650 20217 21975 30130 33695 38383 40434 43950 45195 67390 75325 76766 90390 101085 115149 150650 168475 191915 202170 225975 230298 336950 383830 451950 505425 575745 882809 959575 1010850 1151490 1765618 1919150 2648427 2878725 4414045 5296854 5757450 8828090 13242135 22070225 26484270 44140450 66210675 132421350