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138491430 = 235711167359
BaseRepresentation
bin10000100000100…
…11011000100110
3100122121002112020
420100103120212
5240423211210
621424204010
73301105050
oct1020233046
9318532466
10138491430
11711a1730
123a469606
13228cc7bc
14145708d0
15c259770
hex8413626

138491430 has 128 divisors (see below), whose sum is σ = 418037760. Its totient is φ = 28525440.

The previous prime is 138491417. The next prime is 138491447. The reversal of 138491430 is 34194831.

138491430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 138491391 and 138491400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385591 + ... + 385949.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2138491430 is an apocalyptic number.

138491430 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 138491430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

138491430 is an abundant number, since it is smaller than the sum of its proper divisors (279546330).

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

138491430 is a wasteful number, since it uses less digits than its factorization.

138491430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 138491430 is about 11768.2381858968. The cubic root of 138491430 is about 517.3776134771.

The spelling of 138491430 in words is "one hundred thirty-eight million, four hundred ninety-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 167 210 231 330 334 359 385 462 501 718 770 835 1002 1077 1155 1169 1670 1795 1837 2154 2310 2338 2505 2513 3507 3590 3674 3949 5010 5026 5385 5511 5845 7014 7539 7898 9185 10770 11022 11690 11847 12565 12859 15078 17535 18370 19745 23694 25130 25718 27555 27643 35070 37695 38577 39490 55110 55286 59235 59953 64295 75390 77154 82929 118470 119906 128590 138215 165858 179859 192885 276430 299765 359718 385770 414645 419671 599530 659483 829290 839342 899295 1259013 1318966 1798590 1978449 2098355 2518026 3297415 3956898 4196710 4616381 6295065 6594830 9232762 9892245 12590130 13849143 19784490 23081905 27698286 46163810 69245715 138491430