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190055040 = 2735779179
BaseRepresentation
bin10110101010000…
…00001010000000
3111020121210111120
423111000022000
5342123230130
630505312240
74465304220
oct1325001200
9436553446
10190055040
119831018a
1253795680
13304b4806
141b354080
1511a42910
hexb540280

190055040 has 256 divisors, whose sum is σ = 705024000. Its totient is φ = 42651648.

The previous prime is 190054993. The next prime is 190055057. The reversal of 190055040 is 40550091.

It is a super-2 number, since 2×1900550402 = 72241836458803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 190055040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061671 + ... + 1061849.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2190055040 is an apocalyptic number.

190055040 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 190055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512000).

190055040 is an abundant number, since it is smaller than the sum of its proper divisors (514968960).

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

190055040 is a wasteful number, since it uses less digits than its factorization.

190055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 190055040 is about 13786.0451181621. The cubic root of 190055040 is about 574.9452146921.

The spelling of 190055040 in words is "one hundred ninety million, fifty-five thousand, forty".