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138561384 = 233132319309
BaseRepresentation
bin10000100001001…
…00011101101000
3100122201122111010
420100210131220
5240432431014
621425503520
73301516023
oct1020443550
9318648433
10138561384
117123a245
123a4a1ba0
13229255b0
141458c1ba
15c270359
hex8424768

138561384 has 64 divisors (see below), whose sum is σ = 389289600. Its totient is φ = 40778496.

The previous prime is 138561383. The next prime is 138561419. The reversal of 138561384 is 483165831.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (138561383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479 + ... + 16830.

It is an arithmetic number, because the mean of its divisors is an integer number (6082650).

Almost surely, 2138561384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138561384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194644800).

138561384 is an abundant number, since it is smaller than the sum of its proper divisors (250728216).

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

138561384 is a wasteful number, since it uses less digits than its factorization.

138561384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19354 (or 19350 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 138561384 is about 11771.2099632960. The cubic root of 138561384 is about 517.4647104223.

The spelling of 138561384 in words is "one hundred thirty-eight million, five hundred sixty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 19309 38618 57927 77236 115854 154472 231708 251017 444107 463416 502034 753051 888214 1004068 1332321 1506102 1776428 2008136 2664642 3012204 3552856 5329284 5773391 6024408 10658568 11546782 17320173 23093564 34640346 46187128 69280692 138561384