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1380600216 = 2332294116127
BaseRepresentation
bin101001001001010…
…0100100110011000
310120012211202110100
41102102210212120
510311413201331
6344555015400
746132623342
oct12222444630
93505752410
101380600216
11649349416
1232643a560
13190048608
14d1502292
1581311ae6
hex524a4998

1380600216 has 96 divisors (see below), whose sum is σ = 3962649600. Its totient is φ = 433466880.

The previous prime is 1380600167. The next prime is 1380600227. The reversal of 1380600216 is 6120060831.

1380600216 is a `hidden beast` number, since 1 + 38 + 0 + 600 + 21 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1380600216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77545 + ... + 93671.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 21380600216 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 1380600216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1380600216 is an abundant number, since it is smaller than the sum of its proper divisors (2582049384).

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

1380600216 is a wasteful number, since it uses less digits than its factorization.

1380600216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16209 (or 16202 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1380600216 is about 37156.4289995688. The cubic root of 1380600216 is about 1113.4976692966.

The spelling of 1380600216 in words is "one billion, three hundred eighty million, six hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 41 58 72 82 87 116 123 164 174 232 246 261 328 348 369 492 522 696 738 984 1044 1189 1476 2088 2378 2952 3567 4756 7134 9512 10701 14268 16127 21402 28536 32254 42804 48381 64508 85608 96762 129016 145143 193524 290286 387048 467683 580572 661207 935366 1161144 1322414 1403049 1870732 1983621 2644828 2806098 3741464 3967242 4209147 5289656 5612196 5950863 7934484 8418294 11224392 11901726 15868968 16836588 19175003 23803452 33673176 38350006 47606904 57525009 76700012 115050018 153400024 172575027 230100036 345150054 460200072 690300108 1380600216