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517129380 = 223358811087
BaseRepresentation
bin11110110100101…
…100010010100100
31100001001220011000
4132310230102210
52024341120010
6123151513300
715546345555
oct3664542244
91301056130
10517129380
112459a6a59
12125228830
13831a1a21
144c97432c
15305ed7c0
hex1ed2c4a4

517129380 has 96 divisors (see below), whose sum is σ = 1612154880. Its totient is φ = 137617920.

The previous prime is 517129369. The next prime is 517129387. The reversal of 517129380 is 83921715.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (517129387) 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, 475197 + ... + 476283.

It is an arithmetic number, because the mean of its divisors is an integer number (16793280).

Almost surely, 2517129380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517129380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806077440).

517129380 is an abundant number, since it is smaller than the sum of its proper divisors (1095025500).

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

517129380 is a wasteful number, since it uses less digits than its factorization.

517129380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 517129380 is about 22740.4788867781. The cubic root of 517129380 is about 802.6626799206.

The spelling of 517129380 in words is "five hundred seventeen million, one hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 881 1087 1762 2174 2643 3261 3524 4348 4405 5286 5435 6522 7929 8810 9783 10572 10870 13044 13215 15858 16305 17620 19566 21740 23787 26430 29349 31716 32610 39132 39645 47574 48915 52860 58698 65220 79290 95148 97830 117396 118935 146745 158580 195660 237870 293490 475740 586980 957647 1915294 2872941 3830588 4788235 5745882 8618823 9576470 11491764 14364705 17237646 19152940 25856469 28729410 34475292 43094115 51712938 57458820 86188230 103425876 129282345 172376460 258564690 517129380