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516481380 = 223352234289
BaseRepresentation
bin11110110010001…
…110000101100100
31022222211222021000
4132302032011210
52024204401010
6123125553300
715541006422
oct3662160544
91288758230
10516481380
112455a4118
12124b75830
1383005aac
144c846112
15305217c0
hex1ec8e164

516481380 has 96 divisors (see below), whose sum is σ = 1614412800. Its totient is φ = 137078784.

The previous prime is 516481379. The next prime is 516481411. The reversal of 516481380 is 83184615.

516481380 is a `hidden beast` number, since 5 + 1 + 648 + 1 + 3 + 8 + 0 = 666.

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

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, 118276 + ... + 122564.

It is an arithmetic number, because the mean of its divisors is an integer number (16816800).

Almost surely, 2516481380 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 516481380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807206400).

516481380 is an abundant number, since it is smaller than the sum of its proper divisors (1097931420).

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

516481380 is a wasteful number, since it uses less digits than its factorization.

516481380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 516481380 is about 22726.2266995645. The cubic root of 516481380 is about 802.3272752556.

The spelling of 516481380 in words is "five hundred sixteen million, four hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 223 270 446 540 669 892 1115 1338 2007 2230 2676 3345 4014 4289 4460 6021 6690 8028 8578 10035 12042 12867 13380 17156 20070 21445 24084 25734 30105 38601 40140 42890 51468 60210 64335 77202 85780 115803 120420 128670 154404 193005 231606 257340 386010 463212 579015 772020 956447 1158030 1912894 2316060 2869341 3825788 4782235 5738682 8608023 9564470 11477364 14346705 17216046 19128940 25824069 28693410 34432092 43040115 51648138 57386820 86080230 103296276 129120345 172160460 258240690 516481380