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190313640 = 2332511217257
BaseRepresentation
bin10110101011111…
…11010010101000
3111021002221020100
423111333102220
5342210014030
630515025400
74500432156
oct1325772250
9437087210
10190313640
1198477500
125389b260
133057542a
141b3c03d6
1511a94360
hexb57f4a8

190313640 has 288 divisors, whose sum is σ = 722652840. Its totient is φ = 43253760.

The previous prime is 190313639. The next prime is 190313659. The reversal of 190313640 is 46313091.

190313640 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 13 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 190274436 + 39204 = 13794^2 + 198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 740392 + ... + 740648.

Almost surely, 2190313640 is an apocalyptic number.

190313640 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 190313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361326420).

190313640 is an abundant number, since it is smaller than the sum of its proper divisors (532339200).

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

190313640 is a wasteful number, since it uses less digits than its factorization.

190313640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 190313640 is about 13795.4209794410. The cubic root of 190313640 is about 575.2058645348.

The spelling of 190313640 in words is "one hundred ninety million, three hundred thirteen thousand, six hundred forty".