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516100830 = 235721093221
BaseRepresentation
bin11110110000110…
…001001011011110
31022222010122020120
4132300301023132
52024110211310
6123113455410
715534533100
oct3660611336
91288118216
10516100830
11245364213
12124a11566
1382c0180b
144c787570
1530498b70
hex1ec312de

516100830 has 96 divisors (see below), whose sum is σ = 1454539680. Its totient is φ = 116847360.

The previous prime is 516100829. The next prime is 516100861. The reversal of 516100830 is 38001615.

It is a self number, because there is not a number n which added to its sum of digits gives 516100830.

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, 158620 + ... + 161840.

It is an arithmetic number, because the mean of its divisors is an integer number (15151455).

Almost surely, 2516100830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516100830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727269840).

516100830 is an abundant number, since it is smaller than the sum of its proper divisors (938438850).

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

516100830 is a wasteful number, since it uses less digits than its factorization.

516100830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 516100830 is about 22717.8526714124. The cubic root of 516100830 is about 802.1301718837.

The spelling of 516100830 in words is "five hundred sixteen million, one hundred thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 109 147 210 218 245 294 327 490 545 654 735 763 1090 1470 1526 1635 2289 3221 3270 3815 4578 5341 6442 7630 9663 10682 11445 16023 16105 19326 22547 22890 26705 32046 32210 45094 48315 53410 67641 80115 96630 112735 135282 157829 160230 225470 315658 338205 351089 473487 676410 702178 789145 946974 1053267 1578290 1755445 2106534 2367435 2457623 3510890 4734870 4915246 5266335 7372869 10532670 12288115 14745738 17203361 24576230 34406722 36864345 51610083 73728690 86016805 103220166 172033610 258050415 516100830