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190372920 = 23351978053
BaseRepresentation
bin10110101100011…
…01110000111000
3111021012221112220
423112031300320
5342213413140
630520204040
74501100043
oct1326156070
9437187486
10190372920
1198507aa1
1253909620
13305963ca
141b3d7c5a
1511aa6bd0
hexb58dc38

190372920 has 64 divisors (see below), whose sum is σ = 574089120. Its totient is φ = 50502144.

The previous prime is 190372841. The next prime is 190372921. The reversal of 190372920 is 29273091.

190372920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1903729203 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190372921) 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, 19614 + ... + 27666.

Almost surely, 2190372920 is an apocalyptic number.

190372920 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 190372920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287044560).

190372920 is an abundant number, since it is smaller than the sum of its proper divisors (383716200).

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

190372920 is a wasteful number, since it uses less digits than its factorization.

190372920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 190372920 is about 13797.5693511575. The cubic root of 190372920 is about 575.2655811581.

The spelling of 190372920 in words is "one hundred ninety million, three hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 985 1182 1576 1970 2364 2955 3940 4728 5910 7880 8053 11820 16106 23640 24159 32212 40265 48318 64424 80530 96636 120795 161060 193272 241590 322120 483180 966360 1586441 3172882 4759323 6345764 7932205 9518646 12691528 15864410 19037292 23796615 31728820 38074584 47593230 63457640 95186460 190372920