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138295296 = 211334161
BaseRepresentation
bin10000011111000…
…11100000000000
3100122020010111000
420033203200000
5240400422141
621420052000
73266330166
oct1017434000
9318203430
10138295296
1171078337
123a394000
1322861449
141451d236
15c21b5b6
hex83e3800

138295296 has 192 divisors, whose sum is σ = 426535200. Its totient is φ = 44236800.

The previous prime is 138295279. The next prime is 138295301. The reversal of 138295296 is 692592831.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2267106 + ... + 2267166.

Almost surely, 2138295296 is an apocalyptic number.

138295296 is a gapful number since it is divisible by the number (16) 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 138295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

138295296 is an abundant number, since it is smaller than the sum of its proper divisors (288239904).

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

138295296 is an equidigital number, since it uses as much as digits as its factorization.

138295296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 138295296 is about 11759.9020404083. The cubic root of 138295296 is about 517.1332583275.

The spelling of 138295296 in words is "one hundred thirty-eight million, two hundred ninety-five thousand, two hundred ninety-six".