Search a number
-
+
190057280 = 26572172331
BaseRepresentation
bin10110101010000…
…00101101000000
3111020121220120112
423111000231000
5342123313110
630505330452
74465313600
oct1325005500
9436556515
10190057280
1198311936
1253796a28
13304b583a
141b354c00
1511a43405
hexb540b40

190057280 has 336 divisors, whose sum is σ = 600431616. Its totient is φ = 56770560.

The previous prime is 190057277. The next prime is 190057313. The reversal of 190057280 is 82750091.

It is a super-2 number, since 2×1900572802 = 72243539361996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6130865 + ... + 6130895.

Almost surely, 2190057280 is an apocalyptic number.

190057280 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 190057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300215808).

190057280 is an abundant number, since it is smaller than the sum of its proper divisors (410374336).

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

190057280 is a wasteful number, since it uses less digits than its factorization.

190057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 190057280 is about 13786.1263594963. The cubic root of 190057280 is about 574.9474734627.

The spelling of 190057280 in words is "one hundred ninety million, fifty-seven thousand, two hundred eighty".