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190748100 = 223522272801
BaseRepresentation
bin10110101111010…
…01010111000100
3111021221000012110
423113221113010
5342312414400
630532221020
74504221624
oct1327512704
9437830173
10190748100
1198743964
1253a6a770
13306980ca
141b494884
1511b2ce50
hexb5e95c4

190748100 has 72 divisors (see below), whose sum is σ = 554527008. Its totient is φ = 50624000.

The previous prime is 190748059. The next prime is 190748111. The reversal of 190748100 is 1847091.

It is a super-2 number, since 2×1907481002 = 72769675307220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66700 + ... + 69500.

It is an arithmetic number, because the mean of its divisors is an integer number (7701764).

Almost surely, 2190748100 is an apocalyptic number.

190748100 is a gapful number since it is divisible by the number (10) 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 190748100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277263504).

190748100 is an abundant number, since it is smaller than the sum of its proper divisors (363778908).

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

190748100 is a wasteful number, since it uses less digits than its factorization.

190748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 190748100 is about 13811.1585321435. The cubic root of 190748100 is about 575.6432373109.

The spelling of 190748100 in words is "one hundred ninety million, seven hundred forty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 227 300 454 681 908 1135 1362 2270 2724 2801 3405 4540 5602 5675 6810 8403 11204 11350 13620 14005 16806 17025 22700 28010 33612 34050 42015 56020 68100 70025 84030 140050 168060 210075 280100 420150 635827 840300 1271654 1907481 2543308 3179135 3814962 6358270 7629924 9537405 12716540 15895675 19074810 31791350 38149620 47687025 63582700 95374050 190748100