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138061950 = 235213101701
BaseRepresentation
bin10000011101010…
…10100001111110
3100121210021101120
420032222201332
5240320440300
621411051410
73264335655
oct1016524176
9317707346
10138061950
1170a28a94
123a2a0b66
13227ac180
141449c19c
15c1c23a0
hex83aa87e

138061950 has 96 divisors (see below), whose sum is σ = 372913632. Its totient is φ = 33600000.

The previous prime is 138061933. The next prime is 138061967. The reversal of 138061950 is 59160831.

138061950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138061933) and next prime (138061967).

It is a super-2 number, since 2×1380619502 = 38122204075605000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196600 + ... + 197300.

It is an arithmetic number, because the mean of its divisors is an integer number (3884517).

Almost surely, 2138061950 is an apocalyptic number.

138061950 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 138061950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456816).

138061950 is an abundant number, since it is smaller than the sum of its proper divisors (234851682).

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

138061950 is a wasteful number, since it uses less digits than its factorization.

138061950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 138061950 is about 11749.9765957214. The cubic root of 138061950 is about 516.8422411733.

The spelling of 138061950 in words is "one hundred thirty-eight million, sixty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 101 130 150 195 202 303 325 390 505 606 650 701 975 1010 1313 1402 1515 1950 2103 2525 2626 3030 3505 3939 4206 5050 6565 7010 7575 7878 9113 10515 13130 15150 17525 18226 19695 21030 27339 32825 35050 39390 45565 52575 54678 65650 70801 91130 98475 105150 136695 141602 196950 212403 227825 273390 354005 424806 455650 683475 708010 920413 1062015 1366950 1770025 1840826 2124030 2761239 3540050 4602065 5310075 5522478 9204130 10620150 13806195 23010325 27612390 46020650 69030975 138061950