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138797550 = 2345243797
BaseRepresentation
bin10000100010111…
…10000111101110
3100200011122110000
420101132013232
5241013010200
621434525130
73303521403
oct1021360756
9320148400
10138797550
1171390721
123a5967a6
13229a8c38
14146102aa
15c2ba300
hex845e1ee

138797550 has 120 divisors (see below), whose sum is σ = 395115336. Its totient is φ = 36106560.

The previous prime is 138797531. The next prime is 138797557. The reversal of 138797550 is 55797831.

138797550 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 97 + 550 = 666.

138797550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 138797496 and 138797505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138797557) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 173752 + ... + 174548.

Almost surely, 2138797550 is an apocalyptic number.

138797550 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 138797550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197557668).

138797550 is an abundant number, since it is smaller than the sum of its proper divisors (256317786).

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

138797550 is a wasteful number, since it uses less digits than its factorization.

138797550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 138797550 is about 11781.2372015846. The cubic root of 138797550 is about 517.7585349646.

The spelling of 138797550 in words is "one hundred thirty-eight million, seven hundred ninety-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 43 45 50 54 75 81 86 90 129 135 150 162 215 225 258 270 387 405 430 450 645 675 774 797 810 1075 1161 1290 1350 1594 1935 2025 2150 2322 2391 3225 3483 3870 3985 4050 4782 5805 6450 6966 7173 7970 9675 11610 11955 14346 17415 19350 19925 21519 23910 29025 34271 34830 35865 39850 43038 58050 59775 64557 68542 71730 87075 102813 107595 119550 129114 171355 174150 179325 205626 215190 308439 322785 342710 358650 514065 537975 616878 645570 856775 925317 1028130 1075950 1542195 1613925 1713550 1850634 2570325 2775951 3084390 3227850 4626585 5140650 5551902 7710975 9253170 13879755 15421950 23132925 27759510 46265850 69398775 138797550