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190075392 = 29321319167
BaseRepresentation
bin10110101010001…
…01001000000000
3111020122211102100
423111011020000
5342124403032
630505550400
74465420443
oct1325051000
9436584370
10190075392
1198324501
12537a5400
13304c0b60
141b35b65a
1511a4897c
hexb545200

190075392 has 240 divisors, whose sum is σ = 625584960. Its totient is φ = 55074816.

The previous prime is 190075387. The next prime is 190075393. The reversal of 190075392 is 293570091.

It is a super-2 number, since 2×1900753922 = 72257309287907328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (190075393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138093 + ... + 1138259.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2190075392 is an apocalyptic number.

190075392 is a gapful number since it is divisible by the number (12) 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 190075392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312792480).

190075392 is an abundant number, since it is smaller than the sum of its proper divisors (435509568).

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

190075392 is a wasteful number, since it uses less digits than its factorization.

190075392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 190075392 is about 13786.7832361287. The cubic root of 190075392 is about 574.9657365847.

The spelling of 190075392 in words is "one hundred ninety million, seventy-five thousand, three hundred ninety-two".