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316245120 = 2735198669
BaseRepresentation
bin10010110110011…
…000010010000000
3211001001220202020
4102312120102000
51121424320440
651214121440
710560016302
oct2266302200
9731056666
10316245120
1115256a704
1289ab0280
13506980b9
1430001972
151cb6c3d0
hex12d98480

316245120 has 128 divisors (see below), whose sum is σ = 1061208000. Its totient is φ = 79884288.

The previous prime is 316245119. The next prime is 316245143. The reversal of 316245120 is 21542613.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32146 + ... + 40814.

Almost surely, 2316245120 is an apocalyptic number.

316245120 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 316245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530604000).

316245120 is an abundant number, since it is smaller than the sum of its proper divisors (744962880).

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

316245120 is a wasteful number, since it uses less digits than its factorization.

316245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8710 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 316245120 is about 17783.2820367895. The cubic root of 316245120 is about 681.3045315044.

Adding to 316245120 its reverse (21542613), we get a palindrome (337787733).

The spelling of 316245120 in words is "three hundred sixteen million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 8669 9120 12160 17338 18240 26007 34676 36480 43345 52014 69352 86690 104028 130035 138704 164711 173380 208056 260070 277408 329422 346760 416112 494133 520140 554816 658844 693520 823555 832224 988266 1040280 1109632 1317688 1387040 1647110 1664448 1976532 2080560 2470665 2635376 2774080 3294220 3328896 3953064 4161120 4941330 5270752 5548160 6588440 7906128 8322240 9882660 10541504 13176880 15812256 16644480 19765320 21083008 26353760 31624512 39530640 52707520 63249024 79061280 105415040 158122560 316245120