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190373040 = 243251113432
BaseRepresentation
bin10110101100011…
…01110010110000
3111021012221201100
423112031302300
5342213414130
630520204400
74501100304
oct1326156260
9437187640
10190373040
11985080a0
1253909700
1330596490
141b3d7d04
1511aa6c60
hexb58dcb0

190373040 has 360 divisors, whose sum is σ = 768982032. Its totient is φ = 41610240.

The previous prime is 190373039. The next prime is 190373059. The reversal of 190373040 is 40373091.

190373040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 190372995 and 190373013.

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, 4427259 + ... + 4427301.

Almost surely, 2190373040 is an apocalyptic number.

190373040 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 190373040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384491016).

190373040 is an abundant number, since it is smaller than the sum of its proper divisors (578608992).

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

190373040 is a wasteful number, since it uses less digits than its factorization.

190373040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 190373040 is about 13797.5736997488. The cubic root of 190373040 is about 575.2657020294.

The spelling of 190373040 in words is "one hundred ninety million, three hundred seventy-three thousand, forty".