Search a number
-
+
190926720 = 2734529127
BaseRepresentation
bin10110110000101…
…00111110000000
3111022021002020000
423120110332000
5342334123340
630540120000
74505564445
oct1330247600
9438232200
10190926720
1198856086
1253b36000
133072b4ba
141b4dd9cc
1511b65d30
hexb614f80

190926720 has 320 divisors, whose sum is σ = 710899200. Its totient is φ = 48771072.

The previous prime is 190926719. The next prime is 190926727. The reversal of 190926720 is 27629091.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190926727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1503297 + ... + 1503423.

It is an arithmetic number, because the mean of its divisors is an integer number (2221560).

Almost surely, 2190926720 is an apocalyptic number.

190926720 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 190926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355449600).

190926720 is an abundant number, since it is smaller than the sum of its proper divisors (519972480).

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

190926720 is a wasteful number, since it uses less digits than its factorization.

190926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 190926720 is about 13817.6235293917. The cubic root of 190926720 is about 575.8228621969.

The spelling of 190926720 in words is "one hundred ninety million, nine hundred twenty-six thousand, seven hundred twenty".