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516097980 = 223551031031
BaseRepresentation
bin11110110000110…
…000011110111100
31022222010111100000
4132300300132330
52024110113410
6123113434300
715534521556
oct3660603674
91288114300
10516097980
11245362062
12124a0b990
1382c00428
144c7864d6
1530497dc0
hex1ec307bc

516097980 has 144 divisors (see below), whose sum is σ = 1640830464. Its totient is φ = 136157760.

The previous prime is 516097979. The next prime is 516097993. The reversal of 516097980 is 89790615.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500065 + ... + 501095.

It is an arithmetic number, because the mean of its divisors is an integer number (11394656).

Almost surely, 2516097980 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 516097980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820415232).

516097980 is an abundant number, since it is smaller than the sum of its proper divisors (1124732484).

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

516097980 is a wasteful number, since it uses less digits than its factorization.

516097980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 516097980 is about 22717.7899453270. The cubic root of 516097980 is about 802.1286953794.

The spelling of 516097980 in words is "five hundred sixteen million, ninety-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 162 180 206 243 270 309 324 405 412 486 515 540 618 810 927 972 1030 1031 1215 1236 1545 1620 1854 2060 2062 2430 2781 3090 3093 3708 4124 4635 4860 5155 5562 6180 6186 8343 9270 9279 10310 11124 12372 13905 15465 16686 18540 18558 20620 25029 27810 27837 30930 33372 37116 41715 46395 50058 55620 55674 61860 83430 83511 92790 100116 106193 111348 125145 139185 166860 167022 185580 212386 250290 250533 278370 318579 334044 417555 424772 500580 501066 530965 556740 637158 835110 955737 1002132 1061930 1252665 1274316 1592895 1670220 1911474 2123860 2505330 2867211 3185790 3822948 4778685 5010660 5734422 6371580 8601633 9557370 11468844 14336055 17203266 19114740 25804899 28672110 34406532 43008165 51609798 57344220 86016330 103219596 129024495 172032660 258048990 516097980