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190868832 = 253371119151
BaseRepresentation
bin10110110000001…
…10110101100000
3111022011010211000
423120012311200
5342330300312
630534552000
74505233620
oct1330066540
9438133730
10190868832
1198816640
1253b08600
133070b04b
141b4c6880
1511b53adc
hexb606d60

190868832 has 384 divisors, whose sum is σ = 735436800. Its totient is φ = 46656000.

The previous prime is 190868827. The next prime is 190868837. The reversal of 190868832 is 238868091.

It is an interprime number because it is at equal distance from previous prime (190868827) and next prime (190868837).

It is a super-3 number, since 3×1908688323 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190868837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1263957 + ... + 1264107.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2190868832 is an apocalyptic number.

190868832 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 190868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367718400).

190868832 is an abundant number, since it is smaller than the sum of its proper divisors (544567968).

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

190868832 is a wasteful number, since it uses less digits than its factorization.

190868832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 190868832 is about 13815.5286543802. The cubic root of 190868832 is about 575.7646608038.

The spelling of 190868832 in words is "one hundred ninety million, eight hundred sixty-eight thousand, eight hundred thirty-two".