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138922320 = 2435578843
BaseRepresentation
bin10000100011111…
…00100101010000
3100200101222121010
420101330211100
5241031003240
621441330520
73304551225
oct1021744520
9320358533
10138922320
1171466439
123a636a40
1322a20974
141464394c
15c2e2280
hex847c950

138922320 has 40 divisors (see below), whose sum is σ = 430659936. Its totient is φ = 37045888.

The previous prime is 138922307. The next prime is 138922327. The reversal of 138922320 is 23229831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138922327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289182 + ... + 289661.

Almost surely, 2138922320 is an apocalyptic number.

138922320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138922320 is an abundant number, since it is smaller than the sum of its proper divisors (291737616).

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

138922320 is a wasteful number, since it uses less digits than its factorization.

138922320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578859 (or 578853 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 138922320 is about 11786.5312963569. The cubic root of 138922320 is about 517.9136322863.

The spelling of 138922320 in words is "one hundred thirty-eight million, nine hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 578843 1157686 1736529 2315372 2894215 3473058 4630744 5788430 6946116 8682645 9261488 11576860 13892232 17365290 23153720 27784464 34730580 46307440 69461160 138922320