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315199740 = 223519283977
BaseRepresentation
bin10010110010011…
…001000011111100
3210222002210202110
4102302121003330
51121142342430
651135454020
710545103452
oct2262310374
9728083673
10315199740
11151a16259
1289687310
13503c032b
142dc0c9d2
151ca127b0
hex12c990fc

315199740 has 96 divisors (see below), whose sum is σ = 933246720. Its totient is φ = 79266816.

The previous prime is 315199739. The next prime is 315199789. The reversal of 315199740 is 47991513.

It is a happy number.

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, 322132 + ... + 323108.

It is an arithmetic number, because the mean of its divisors is an integer number (9721320).

Almost surely, 2315199740 is an apocalyptic number.

315199740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315199740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466623360).

315199740 is an abundant number, since it is smaller than the sum of its proper divisors (618046980).

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

315199740 is a wasteful number, since it uses less digits than its factorization.

315199740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 315199740 is about 17753.8654945902. The cubic root of 315199740 is about 680.5529959556.

The spelling of 315199740 in words is "three hundred fifteen million, one hundred ninety-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 283 285 380 566 570 849 977 1132 1140 1415 1698 1954 2830 2931 3396 3908 4245 4885 5377 5660 5862 8490 9770 10754 11724 14655 16131 16980 18563 19540 21508 26885 29310 32262 37126 53770 55689 58620 64524 74252 80655 92815 107540 111378 161310 185630 222756 276491 278445 322620 371260 552982 556890 829473 1105964 1113780 1382455 1658946 2764910 3317892 4147365 5253329 5529820 8294730 10506658 15759987 16589460 21013316 26266645 31519974 52533290 63039948 78799935 105066580 157599870 315199740