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138500480 = 27523972
BaseRepresentation
bin10000100000101…
…01100110000000
3100122121112221102
420100111212000
5240424003410
621424313532
73301143326
oct1020254600
9318545842
10138500480
11711a8508
123a4728a8
1322903961
1414573d16
15c25c2a5
hex8415980

138500480 has 96 divisors (see below), whose sum is σ = 349097040. Its totient is φ = 52445184.

The previous prime is 138500477. The next prime is 138500489. The reversal of 138500480 is 84005831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138500489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1427792 + ... + 1427888.

Almost surely, 2138500480 is an apocalyptic number.

138500480 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 138500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174548520).

138500480 is an abundant number, since it is smaller than the sum of its proper divisors (210596560).

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

138500480 is an frugal number, since it uses more digits than its factorization.

138500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 138500480 is about 11768.6226891680. The cubic root of 138500480 is about 517.3888829239.

The spelling of 138500480 in words is "one hundred thirty-eight million, five hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 97 115 128 160 184 194 230 320 368 388 460 485 640 736 776 920 970 1472 1552 1840 1940 2231 2944 3104 3680 3880 4462 6208 7360 7760 8924 9409 11155 12416 14720 15520 17848 18818 22310 31040 35696 37636 44620 47045 62080 71392 75272 89240 94090 142784 150544 178480 188180 216407 285568 301088 356960 376360 432814 602176 713920 752720 865628 1082035 1204352 1427840 1505440 1731256 2164070 3010880 3462512 4328140 6021760 6925024 8656280 13850048 17312560 27700096 34625120 69250240 138500480