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138423978 = 238711137
BaseRepresentation
bin10000100000000…
…10111010101010
3100122110200000000
420100002322222
5240414031403
621422523430
73300404310
oct1020027252
9318420000
10138423978
1171155a90
123a436576
13228a7ba4
14145540b0
15c2447a3
hex8402eaa

138423978 has 144 divisors (see below), whose sum is σ = 391120704. Its totient is φ = 35691840.

The previous prime is 138423973. The next prime is 138423991. The reversal of 138423978 is 879324831.

138423978 is a `hidden beast` number, since 138 + 423 + 97 + 8 = 666.

It is a super-2 number, since 2×1384239782 = 38322395370688968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138423973) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1010326 + ... + 1010462.

It is an arithmetic number, because the mean of its divisors is an integer number (2716116).

Almost surely, 2138423978 is an apocalyptic number.

138423978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138423978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195560352).

138423978 is an abundant number, since it is smaller than the sum of its proper divisors (252696726).

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

138423978 is an equidigital number, since it uses as much as digits as its factorization.

138423978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 138423978 is about 11765.3719873194. The cubic root of 138423978 is about 517.2936038937.

The spelling of 138423978 in words is "one hundred thirty-eight million, four hundred twenty-three thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 137 154 162 189 198 231 243 274 297 378 411 462 486 567 594 693 729 822 891 959 1134 1233 1386 1458 1507 1701 1782 1918 2079 2187 2466 2673 2877 3014 3402 3699 4158 4374 4521 5103 5346 5754 6237 6561 7398 8019 8631 9042 10206 10549 11097 12474 13122 13563 15309 16038 17262 18711 21098 22194 24057 25893 27126 30618 31647 33291 37422 40689 45927 48114 51786 56133 63294 66582 72171 77679 81378 91854 94941 99873 112266 122067 144342 155358 168399 189882 199746 233037 244134 284823 299619 336798 366201 466074 505197 569646 599238 699111 732402 854469 898857 1010394 1098603 1398222 1708938 1797714 2097333 2197206 2563407 3295809 4194666 5126814 6291999 6591618 7690221 9887427 12583998 15380442 19774854 23070663 46141326 69211989 138423978