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138434670 = 2355115179
BaseRepresentation
bin10000100000001…
…01100001101110
3100122111012200000
420100011201232
5240414402140
621423045130
73300450423
oct1020054156
9318435600
10138434670
1171163020
123a4407a6
13228aca0a
1414557d4a
15c247a30
hex840586e

138434670 has 96 divisors (see below), whose sum is σ = 407272320. Its totient is φ = 33553440.

The previous prime is 138434669. The next prime is 138434671. The reversal of 138434670 is 76434831.

It is an interprime number because it is at equal distance from previous prime (138434669) and next prime (138434671).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138434671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24141 + ... + 29319.

It is an arithmetic number, because the mean of its divisors is an integer number (4242420).

Almost surely, 2138434670 is an apocalyptic number.

138434670 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 138434670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203636160).

138434670 is an abundant number, since it is smaller than the sum of its proper divisors (268837650).

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

138434670 is a wasteful number, since it uses less digits than its factorization.

138434670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 138434670 is about 11765.8263628187. The cubic root of 138434670 is about 517.3069223012.

The spelling of 138434670 in words is "one hundred thirty-eight million, four hundred thirty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5179 5346 8910 10358 13365 15537 25895 26730 31074 46611 51790 56969 77685 93222 113938 139833 155370 170907 233055 279666 284845 341814 419499 466110 512721 569690 699165 838998 854535 1025442 1258497 1398330 1538163 1709070 2097495 2516994 2563605 3076326 4194990 4614489 5127210 6292485 7690815 9228978 12584970 13843467 15381630 23072445 27686934 46144890 69217335 138434670