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189720384 = 2637141161
BaseRepresentation
bin10110100111011…
…10011101000000
3111012222210102220
423103232131000
5342032023014
630454211040
74462411440
oct1323563500
9435883386
10189720384
1198101807
1253653a80
13303c83a9
141b2a8120
15119c86a9
hexb4ee740

189720384 has 56 divisors (see below), whose sum is σ = 573682368. Its totient is φ = 54205440.

The previous prime is 189720383. The next prime is 189720389. The reversal of 189720384 is 483027981.

189720384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189720383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69237 + ... + 71924.

It is an arithmetic number, because the mean of its divisors is an integer number (10244328).

Almost surely, 2189720384 is an apocalyptic number.

189720384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

189720384 is an abundant number, since it is smaller than the sum of its proper divisors (383961984).

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

189720384 is a wasteful number, since it uses less digits than its factorization.

189720384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141183 (or 141173 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 189720384 is about 13773.9022793107. The cubic root of 189720384 is about 574.6075547701.

The spelling of 189720384 in words is "one hundred eighty-nine million, seven hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 141161 282322 423483 564644 846966 988127 1129288 1693932 1976254 2258576 2964381 3387864 3952508 4517152 5928762 6775728 7905016 9034304 11857524 13551456 15810032 23715048 27102912 31620064 47430096 63240128 94860192 189720384