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138028260 = 22357132401
BaseRepresentation
bin10000011101000…
…10010011100100
3100121201120011210
420032202103210
5240313401020
621410231420
73264135516
oct1016422344
9317646153
10138028260
1170a05747
123a285570
1322799a36
141448dbb6
15c1b73e0
hex83a24e4

138028260 has 48 divisors (see below), whose sum is σ = 391934592. Its totient is φ = 36288000.

The previous prime is 138028259. The next prime is 138028273. The reversal of 138028260 is 62820831.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11941 + ... + 20460.

It is an arithmetic number, because the mean of its divisors is an integer number (8165304).

Almost surely, 2138028260 is an apocalyptic number.

138028260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138028260 is an abundant number, since it is smaller than the sum of its proper divisors (253906332).

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

138028260 is a wasteful number, since it uses less digits than its factorization.

138028260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32484 (or 32482 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 138028260 is about 11748.5428883756. The cubic root of 138028260 is about 516.8001976519.

The spelling of 138028260 in words is "one hundred thirty-eight million, twenty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 32401 64802 97203 129604 162005 194406 324010 388812 486015 648020 972030 1944060 2300471 4600942 6901413 9201884 11502355 13802826 23004710 27605652 34507065 46009420 69014130 138028260