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517480380 = 22335967991
BaseRepresentation
bin11110110110000…
…001111110111100
31100001201201122000
4132312001332330
52024433333010
6123203222300
715552340104
oct3666017674
91301651560
10517480380
1124611673a
12125377990
1383295711
144ca26204
153066c7c0
hex1ed81fbc

517480380 has 96 divisors (see below), whose sum is σ = 1613230080. Its totient is φ = 137712960.

The previous prime is 517480367. The next prime is 517480399. The reversal of 517480380 is 83084715.

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

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, 521685 + ... + 522675.

It is an arithmetic number, because the mean of its divisors is an integer number (16804480).

Almost surely, 2517480380 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 517480380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806615040).

517480380 is an abundant number, since it is smaller than the sum of its proper divisors (1095749700).

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

517480380 is a wasteful number, since it uses less digits than its factorization.

517480380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 517480380 is about 22748.1950932376. The cubic root of 517480380 is about 802.8442404696.

The spelling of 517480380 in words is "five hundred seventeen million, four hundred eighty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 967 991 1934 1982 2901 2973 3868 3964 4835 4955 5802 5946 8703 8919 9670 9910 11604 11892 14505 14865 17406 17838 19340 19820 26109 26757 29010 29730 34812 35676 43515 44595 52218 53514 58020 59460 87030 89190 104436 107028 130545 133785 174060 178380 261090 267570 522180 535140 958297 1916594 2874891 3833188 4791485 5749782 8624673 9582970 11499564 14374455 17249346 19165940 25874019 28748910 34498692 43123365 51748038 57497820 86246730 103496076 129370095 172493460 258740190 517480380