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132714246 = 2373591093
BaseRepresentation
bin1111110100100…
…00111100000110
3100020201120201110
413322100330012
5232433323441
621100305450
73201024000
oct772207406
9306646643
10132714246
1168a061a5
1238542286
1321659052
14138a9370
15b9b7b16
hex7e90f06

132714246 has 64 divisors (see below), whose sum is σ = 315072000. Its totient is φ = 37241568.

The previous prime is 132714217. The next prime is 132714247. The reversal of 132714246 is 642417231.

It is a super-2 number, since 2×1327142462 = 35226142182697032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132714247) 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, 120876 + ... + 121968.

It is an arithmetic number, because the mean of its divisors is an integer number (4923000).

Almost surely, 2132714246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132714246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157536000).

132714246 is an abundant number, since it is smaller than the sum of its proper divisors (182357754).

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

132714246 is a wasteful number, since it uses less digits than its factorization.

132714246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1164 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 132714246 is about 11520.1669258739. The cubic root of 132714246 is about 510.0810405627.

The spelling of 132714246 in words is "one hundred thirty-two million, seven hundred fourteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 343 354 413 686 826 1029 1093 1239 2058 2186 2478 2891 3279 5782 6558 7651 8673 15302 17346 20237 22953 40474 45906 53557 60711 64487 107114 121422 128974 160671 193461 321342 374899 386922 451409 749798 902818 1124697 1354227 2249394 2708454 3159863 6319726 9479589 18959178 22119041 44238082 66357123 132714246