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195105024 = 2834972
BaseRepresentation
bin10111010000100…
…01000100000000
3111121010100210000
423220101010000
5344421330044
631205440000
74556236212
oct1350210400
9447110700
10195105024
11a014a324
1255410000
133156227a
141bcaa5b2
15121ddd69
hexba11100

195105024 has 135 divisors (see below), whose sum is σ = 587827317. Its totient is φ = 64364544.

The previous prime is 195105017. The next prime is 195105047. The reversal of 195105024 is 420501591.

The square root of 195105024 is 13968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87609600 + 107495424 = 9360^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2011344 + ... + 2011440.

Almost surely, 2195105024 is an apocalyptic number.

195105024 is the 13968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195105024

195105024 is an abundant number, since it is smaller than the sum of its proper divisors (392722293).

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

195105024 is an frugal number, since it uses more digits than its factorization.

195105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The cubic root of 195105024 is about 579.9930875118.

The spelling of 195105024 in words is "one hundred ninety-five million, one hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 128 144 162 192 194 216 256 288 291 324 384 388 432 576 582 648 768 776 864 873 1152 1164 1296 1552 1728 1746 2304 2328 2592 2619 3104 3456 3492 4656 5184 5238 6208 6912 6984 7857 9312 9409 10368 10476 12416 13968 15714 18624 18818 20736 20952 24832 27936 28227 31428 37248 37636 41904 55872 56454 62856 74496 75272 83808 84681 111744 112908 125712 150544 167616 169362 223488 225816 251424 254043 301088 335232 338724 451632 502848 508086 602176 670464 677448 762129 903264 1005696 1016172 1204352 1354896 1524258 1806528 2011392 2032344 2408704 2709792 3048516 3613056 4064688 5419584 6097032 7226112 8129376 10839168 12194064 16258752 21678336 24388128 32517504 48776256 65035008 97552512 195105024