Search a number
-
+
138255900 = 223521727109
BaseRepresentation
bin10000011110110…
…01111000011100
3100122011010102220
420033121320130
5240343142100
621415145340
73266104266
oct1017317034
9318133386
10138255900
1171050782
123a375250
1322849533
141450cb36
15c20eaa0
hex83d9e1c

138255900 has 72 divisors (see below), whose sum is σ = 423566640. Its totient is φ = 34698240.

The previous prime is 138255881. The next prime is 138255919. The reversal of 138255900 is 9552831.

138255900 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 (138255881) and next prime (138255919).

It is a super-2 number, since 2×1382559002 = 38229387769620000, 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 23 ways as a sum of consecutive naturals, for example, 8455 + ... + 18654.

It is an arithmetic number, because the mean of its divisors is an integer number (5882870).

Almost surely, 2138255900 is an apocalyptic number.

138255900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138255900 is an abundant number, since it is smaller than the sum of its proper divisors (285310740).

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

138255900 is a wasteful number, since it uses less digits than its factorization.

138255900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27143 (or 27136 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 138255900 is about 11758.2269071489. The cubic root of 138255900 is about 517.0841486391.

The spelling of 138255900 in words is "one hundred thirty-eight million, two hundred fifty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 27109 54218 81327 108436 135545 162654 271090 325308 406635 460853 542180 677725 813270 921706 1355450 1382559 1626540 1843412 2033175 2304265 2710900 2765118 4066350 4608530 5530236 6912795 8132700 9217060 11521325 13825590 23042650 27651180 34563975 46085300 69127950 138255900