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189673920 = 2633529757
BaseRepresentation
bin10110100111000…
…11000111000000
3111012220102201000
423103203013000
5342024031140
630453212000
74462126122
oct1323430700
9435812630
10189673920
119807a907
1253631000
13303b01b7
141b295212
15119b9a30
hexb4e31c0

189673920 has 224 divisors, whose sum is σ = 693115200. Its totient is φ = 48771072.

The previous prime is 189673919. The next prime is 189673921. The reversal of 189673920 is 29376981.

It is an interprime number because it is at equal distance from previous prime (189673919) and next prime (189673921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189673921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250182 + ... + 250938.

Almost surely, 2189673920 is an apocalyptic number.

189673920 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 189673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346557600).

189673920 is an abundant number, since it is smaller than the sum of its proper divisors (503441280).

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

189673920 is a wasteful number, since it uses less digits than its factorization.

189673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 189673920 is about 13772.2155080437. The cubic root of 189673920 is about 574.5606423180.

The spelling of 189673920 in words is "one hundred eighty-nine million, six hundred seventy-three thousand, nine hundred twenty".