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132097014 = 23373111273
BaseRepresentation
bin1111101111110…
…10001111110110
3100012120020001000
413313322033312
5232304101024
621035144130
73162543330
oct767721766
9305506030
10132097014
1168624495
12382a5046
13214a111a
1413788450
15b8e4cc9
hex7dfa3f6

132097014 has 64 divisors (see below), whose sum is σ = 346337280. Its totient is φ = 36521280.

The previous prime is 132097003. The next prime is 132097051. The reversal of 132097014 is 410790231.

It is a super-2 number, since 2×1320970142 = 34899242215432392, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6082 + ... + 17354.

It is an arithmetic number, because the mean of its divisors is an integer number (5411520).

Almost surely, 2132097014 is an apocalyptic number.

132097014 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 132097014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173168640).

132097014 is an abundant number, since it is smaller than the sum of its proper divisors (214240266).

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

132097014 is a wasteful number, since it uses less digits than its factorization.

132097014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322 (or 11316 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 132097014 is about 11493.3465100466. The cubic root of 132097014 is about 509.2890439676.

The spelling of 132097014 in words is "one hundred thirty-two million, ninety-seven thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11273 11718 22546 33819 67638 78911 101457 157822 202914 236733 304371 349463 473466 608742 698926 710199 1048389 1420398 2096778 2130597 2446241 3145167 4261194 4892482 6290334 7338723 9435501 14677446 18871002 22016169 44032338 66048507 132097014