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132701814 = 2357192053
BaseRepresentation
bin1111110100011…
…01111001110110
3100020200221200000
413322031321312
5232432424224
621100132130
73200642520
oct772157166
9306627600
10132701814
11689a7923
1238537046
13216534ab
14138a4a10
15b9b40c9
hex7e8de76

132701814 has 96 divisors (see below), whose sum is σ = 358874880. Its totient is φ = 35901792.

The previous prime is 132701773. The next prime is 132701843. The reversal of 132701814 is 418107231.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 63612 + ... + 65664.

It is an arithmetic number, because the mean of its divisors is an integer number (3738280).

Almost surely, 2132701814 is an apocalyptic number.

132701814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132701814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179437440).

132701814 is an abundant number, since it is smaller than the sum of its proper divisors (226173066).

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

132701814 is a wasteful number, since it uses less digits than its factorization.

132701814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 132701814 is about 11519.6273377223. The cubic root of 132701814 is about 510.0651127938.

The spelling of 132701814 in words is "one hundred thirty-two million, seven hundred one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 243 266 342 378 399 486 513 567 798 1026 1134 1197 1539 1701 2053 2394 3078 3402 3591 4106 4617 6159 7182 9234 10773 12318 14371 18477 21546 28742 32319 36954 39007 43113 55431 64638 78014 86226 110862 117021 129339 166293 234042 258678 273049 332586 351063 388017 498879 546098 702126 776034 819147 997758 1053189 1164051 1638294 2106378 2328102 2457441 3159567 3492153 4914882 6319134 6984306 7372323 9478701 14744646 18957402 22116969 44233938 66350907 132701814