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190064800 = 2552237581
BaseRepresentation
bin10110101010000…
…10100010100000
3111020122021220001
423111002202200
5342124033200
630505425344
74465344532
oct1325024240
9436567801
10190064800
1198317552
125379b254
13304b90a3
141b357852
1511a4576a
hexb5428a0

190064800 has 36 divisors (see below), whose sum is σ = 463997646. Its totient is φ = 76025600.

The previous prime is 190064789. The next prime is 190064803. The reversal of 190064800 is 8460091.

190064800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 74028816 + 116035984 = 8604^2 + 10772^2 .

It is a super-2 number, since 2×1900648002 = 72249256398080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190064803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117991 + ... + 119590.

Almost surely, 2190064800 is an apocalyptic number.

190064800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190064800 is an abundant number, since it is smaller than the sum of its proper divisors (273932846).

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

190064800 is a wasteful number, since it uses less digits than its factorization.

190064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237601 (or 237588 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 190064800 is about 13786.3990947600. The cubic root of 190064800 is about 574.9550563485.

The spelling of 190064800 in words is "one hundred ninety million, sixty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 237581 475162 950324 1187905 1900648 2375810 3801296 4751620 5939525 7602592 9503240 11879050 19006480 23758100 38012960 47516200 95032400 190064800