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138462380 = 22575916763
BaseRepresentation
bin10000100000011…
…00010010101100
3100122112121200022
420100030102230
5240421244010
621423421312
73300624260
oct1020142254
9318477608
10138462380
1171181921
123a454838
13228bc504
14145640a0
15c250d55
hex840c4ac

138462380 has 48 divisors (see below), whose sum is σ = 337962240. Its totient is φ = 46665408.

The previous prime is 138462353. The next prime is 138462391. The reversal of 138462380 is 83264831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 138462380.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122 + ... + 16641.

It is an arithmetic number, because the mean of its divisors is an integer number (7040880).

Almost surely, 2138462380 is an apocalyptic number.

138462380 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 138462380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168981120).

138462380 is an abundant number, since it is smaller than the sum of its proper divisors (199499860).

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

138462380 is a wasteful number, since it uses less digits than its factorization.

138462380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16838 (or 16836 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 138462380 is about 11767.0038667453. The cubic root of 138462380 is about 517.3414358579.

The spelling of 138462380 in words is "one hundred thirty-eight million, four hundred sixty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 16763 33526 67052 83815 117341 167630 234682 335260 469364 586705 989017 1173410 1978034 2346820 3956068 4945085 6923119 9890170 13846238 19780340 27692476 34615595 69231190 138462380