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195103296 = 2633234909
BaseRepresentation
bin10111010000100…
…00101001000000
3111121010021102000
423220100221000
5344421301141
631205424000
74556231163
oct1350205100
9447107360
10195103296
11a0148aa3
125540b000
133156154b
141bca9ada
15121dd5b6
hexba10a40

195103296 has 112 divisors (see below), whose sum is σ = 598627200. Its totient is φ = 62194176.

The previous prime is 195103291. The next prime is 195103301. The reversal of 195103296 is 692301591.

It is an interprime number because it is at equal distance from previous prime (195103291) and next prime (195103301).

It is a super-2 number, since 2×1951032962 = 76130592220127232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 195103296.

It is not an unprimeable number, because it can be changed into a prime (195103291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37290 + ... + 42198.

Almost surely, 2195103296 is an apocalyptic number.

195103296 is a gapful number since it is divisible by the number (16) 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 195103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299313600).

195103296 is an abundant number, since it is smaller than the sum of its proper divisors (403523904).

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

195103296 is a wasteful number, since it uses less digits than its factorization.

195103296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 195103296 is about 13967.9381441929. The cubic root of 195103296 is about 579.9913752186.

The spelling of 195103296 in words is "one hundred ninety-five million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4909 4968 6624 9818 9936 13248 14727 19636 19872 29454 39272 39744 44181 58908 78544 88362 112907 117816 132543 157088 176724 225814 235632 265086 314176 338721 353448 451628 471264 530172 677442 706896 903256 942528 1016163 1060344 1354884 1413792 1806512 2032326 2120688 2709768 2827584 3048489 3613024 4064652 4241376 5419536 6096978 7226048 8129304 8482752 10839072 12193956 16258608 21678144 24387912 32517216 48775824 65034432 97551648 195103296