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115416070 = 2574111923
BaseRepresentation
bin1101110000100…
…01110000000110
322001011202002021
412320101300012
5214021303240
615241433354
72601010000
oct670216006
9261152067
10115416070
115a170890
123279b85a
131abb0643
1411485370
15a1ec54a
hex6e11c06

115416070 has 160 divisors (see below), whose sum is σ = 290407680. Its totient is φ = 32598720.

The previous prime is 115416029. The next prime is 115416079. The reversal of 115416070 is 70614511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115416079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5018079 + ... + 5018101.

It is an arithmetic number, because the mean of its divisors is an integer number (1815048).

Almost surely, 2115416070 is an apocalyptic number.

115416070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115416070 is an abundant number, since it is smaller than the sum of its proper divisors (174991610).

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

115416070 is a wasteful number, since it uses less digits than its factorization.

115416070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 115416070 is about 10743.1871434877. The cubic root of 115416070 is about 486.8801783058.

The spelling of 115416070 in words is "one hundred fifteen million, four hundred sixteen thousand, seventy".

Divisors: 1 2 5 7 10 11 14 19 22 23 35 38 46 49 55 70 77 95 98 110 115 133 154 161 190 209 230 245 253 266 322 343 385 418 437 490 506 539 665 686 770 805 874 931 1045 1078 1127 1265 1330 1463 1610 1715 1771 1862 2090 2185 2254 2401 2530 2695 2926 3059 3430 3542 3773 4370 4655 4802 4807 5390 5635 6118 6517 7315 7546 7889 8855 9310 9614 10241 11270 12005 12397 13034 14630 15295 15778 17710 18865 20482 21413 24010 24035 24794 26411 30590 32585 33649 37730 39445 42826 45619 48070 51205 52822 55223 61985 65170 67298 71687 78890 86779 91238 102410 107065 110446 123970 132055 143374 149891 168245 173558 214130 228095 235543 264110 276115 299782 336490 358435 433895 456190 471086 501809 552230 607453 716870 749455 867790 1003618 1049237 1177715 1214906 1498910 1648801 2098474 2355430 2509045 3037265 3297602 5018090 5246185 6074530 8244005 10492370 11541607 16488010 23083214 57708035 115416070