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138094080 = 293517981
BaseRepresentation
bin10000011101100…
…10011000000000
3100121211220110120
420032302120000
5240323002310
621411500240
73264531435
oct1016623000
9317756416
10138094080
1170a50143
123a2b7680
13227c0997
14144a9b8c
15c1cbb70
hex83b2600

138094080 has 80 divisors (see below), whose sum is σ = 441494064. Its totient is φ = 36823040.

The previous prime is 138094069. The next prime is 138094081. The reversal of 138094080 is 80490831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138094081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1311 + ... + 16670.

Almost surely, 2138094080 is an apocalyptic number.

138094080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220747032).

138094080 is an abundant number, since it is smaller than the sum of its proper divisors (303399984).

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

138094080 is an equidigital number, since it uses as much as digits as its factorization.

138094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18007 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 138094080 is about 11751.3437529501. The cubic root of 138094080 is about 516.8823315172.

The spelling of 138094080 in words is "one hundred thirty-eight million, ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 17981 35962 53943 71924 89905 107886 143848 179810 215772 269715 287696 359620 431544 539430 575392 719240 863088 1078860 1150784 1438480 1726176 2157720 2301568 2876960 3452352 4315440 4603136 5753920 6904704 8630880 9206272 11507840 13809408 17261760 23015680 27618816 34523520 46031360 69047040 138094080