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138674312 = 23721943433
BaseRepresentation
bin10000100010000…
…00000010001000
3100122221101101122
420101000002020
5241000034222
621432134412
73302466200
oct1021000210
9318841348
10138674312
1171307077
123a537408
1322964b0a
14145bb400
15c293a42
hex8440088

138674312 has 96 divisors (see below), whose sum is σ = 326541600. Its totient is φ = 54867456.

The previous prime is 138674303. The next prime is 138674329. The reversal of 138674312 is 213476831.

Its product of digits (24192) is a multiple of the sum of its prime divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320048 + ... + 320480.

It is an arithmetic number, because the mean of its divisors is an integer number (3401475).

Almost surely, 2138674312 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 138674312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163270800).

138674312 is an abundant number, since it is smaller than the sum of its proper divisors (187867288).

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

138674312 is a wasteful number, since it uses less digits than its factorization.

138674312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 138674312 is about 11776.0057744551. The cubic root of 138674312 is about 517.6052507496.

The spelling of 138674312 in words is "one hundred thirty-eight million, six hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 43 49 56 76 86 98 133 152 172 196 266 301 344 392 433 532 602 817 866 931 1064 1204 1634 1732 1862 2107 2408 3031 3268 3464 3724 4214 5719 6062 6536 7448 8227 8428 11438 12124 16454 16856 18619 21217 22876 24248 32908 37238 40033 42434 45752 57589 65816 74476 80066 84868 115178 130333 148952 160132 169736 230356 260666 320264 353761 403123 460712 521332 707522 806246 912331 1042664 1415044 1612492 1824662 2476327 2830088 3224984 3649324 4952654 7298648 9905308 17334289 19810616 34668578 69337156 138674312