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513450132 = 2231371151307
BaseRepresentation
bin11110100110101…
…010000010010100
31022210010222011120
4132212222002110
52022420401012
6122541003540
715503153106
oct3646520224
91283128146
10513450132
11243913758
12123b535b0
13824b4160
144c297576
153012358c
hex1e9aa094

513450132 has 96 divisors (see below), whose sum is σ = 1321334784. Its totient is φ = 154224000.

The previous prime is 513450127. The next prime is 513450169. The reversal of 513450132 is 231054315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672323 + ... + 1672629.

It is an arithmetic number, because the mean of its divisors is an integer number (13763904).

Almost surely, 2513450132 is an apocalyptic number.

513450132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513450132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660667392).

513450132 is an abundant number, since it is smaller than the sum of its proper divisors (807884652).

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

513450132 is a wasteful number, since it uses less digits than its factorization.

513450132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 513450132 is about 22659.4380336318. The cubic root of 513450132 is about 800.7545651489.

The spelling of 513450132 in words is "five hundred thirteen million, four hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 151 156 213 284 302 307 426 453 604 614 852 906 921 923 1228 1812 1842 1846 1963 2769 3684 3692 3926 3991 5538 5889 7852 7982 10721 11076 11778 11973 15964 21442 21797 23556 23946 32163 42884 43594 46357 47892 64326 65391 87188 92714 128652 130782 139071 139373 185428 261564 278142 278746 283361 418119 556284 557492 566722 602641 836238 850083 1133444 1205282 1672476 1700166 1807923 2410564 3291347 3400332 3615846 6582694 7231692 9874041 13165388 19748082 39496164 42787511 85575022 128362533 171150044 256725066 513450132