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138820473 = 3411347449
BaseRepresentation
bin10000100011000…
…11101101111001
3100200012210220000
420101203231321
5241014223343
621435223213
73303645261
oct1021435571
9320183800
10138820473
11713a6970
123a5a7b09
13229b64bc
14146187a1
15c2c1ed3
hex8463b79

138820473 has 40 divisors (see below), whose sum is σ = 227383200. Its totient is φ = 83704320.

The previous prime is 138820471. The next prime is 138820481. The reversal of 138820473 is 374028831.

138820473 is a `hidden beast` number, since 1 + 388 + 204 + 73 = 666.

138820473 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138820473 - 21 = 138820471 is a prime.

It is a super-2 number, since 2×1388204732 = 38542247447887458, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138820471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308953 + ... + 309401.

It is an arithmetic number, because the mean of its divisors is an integer number (5684580).

Almost surely, 2138820473 is an apocalyptic number.

It is an amenable number.

138820473 is a deficient number, since it is larger than the sum of its proper divisors (88562727).

138820473 is a wasteful number, since it uses less digits than its factorization.

138820473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 138820473 is about 11782.2100218932. The cubic root of 138820473 is about 517.7870367299.

The spelling of 138820473 in words is "one hundred thirty-eight million, eight hundred twenty thousand, four hundred seventy-three".

Divisors: 1 3 9 11 27 33 81 99 297 347 449 891 1041 1347 3123 3817 4041 4939 9369 11451 12123 14817 28107 34353 36369 44451 103059 133353 155803 309177 400059 467409 1402227 1713833 4206681 5141499 12620043 15424497 46273491 138820473