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138712350 = 235271719409
BaseRepresentation
bin10000100010010…
…01010100011110
3100200000022120110
420101021110132
5241002243400
621433030450
73303015120
oct1021112436
9320008513
10138712350
1171332707
123a555426
132297921a
14145cb210
15c29ee50
hex844951e

138712350 has 192 divisors, whose sum is σ = 439257600. Its totient is φ = 28200960.

The previous prime is 138712349. The next prime is 138712351. The reversal of 138712350 is 53217831.

It is an interprime number because it is at equal distance from previous prime (138712349) and next prime (138712351).

It is a super-2 number, since 2×1387123502 = 38482232085045000, which contains 22 as substring.

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 (138712351) 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 95 ways as a sum of consecutive naturals, for example, 338946 + ... + 339354.

It is an arithmetic number, because the mean of its divisors is an integer number (2287800).

Almost surely, 2138712350 is an apocalyptic number.

138712350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138712350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219628800).

138712350 is an abundant number, since it is smaller than the sum of its proper divisors (300545250).

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

138712350 is a wasteful number, since it uses less digits than its factorization.

138712350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 138712350 is about 11777.6207274644. The cubic root of 138712350 is about 517.6525723439.

The spelling of 138712350 in words is "one hundred thirty-eight million, seven hundred twelve thousand, three hundred fifty".