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138911904 = 25322367313
BaseRepresentation
bin10000100011110…
…10000010100000
3100200101110022100
420101322002200
5241030140104
621441210400
73304505655
oct1021720240
9320343270
10138911904
117145962a
123a630a00
1322a18cc1
141463dc2c
15c2de139
hex847a0a0

138911904 has 144 divisors (see below), whose sum is σ = 419694912. Its totient is φ = 43490304.

The previous prime is 138911893. The next prime is 138911909. The reversal of 138911904 is 409119831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138911909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443652 + ... + 443964.

It is an arithmetic number, because the mean of its divisors is an integer number (2914548).

Almost surely, 2138911904 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 138911904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209847456).

138911904 is an abundant number, since it is smaller than the sum of its proper divisors (280783008).

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

138911904 is a wasteful number, since it uses less digits than its factorization.

138911904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 138911904 is about 11786.0894277958. The cubic root of 138911904 is about 517.9006880663.

The spelling of 138911904 in words is "one hundred thirty-eight million, nine hundred eleven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 67 69 72 92 96 134 138 144 184 201 207 268 276 288 313 368 402 414 536 552 603 626 736 804 828 939 1072 1104 1206 1252 1541 1608 1656 1878 2144 2208 2412 2504 2817 3082 3216 3312 3756 4623 4824 5008 5634 6164 6432 6624 7199 7512 9246 9648 10016 11268 12328 13869 14398 15024 18492 19296 20971 21597 22536 24656 27738 28796 30048 36984 41942 43194 45072 49312 55476 57592 62913 64791 73968 83884 86388 90144 110952 115184 125826 129582 147936 167768 172776 188739 221904 230368 251652 259164 335536 345552 377478 443808 482333 503304 518328 671072 691104 754956 964666 1006608 1036656 1446999 1509912 1929332 2013216 2073312 2893998 3019824 3858664 4340997 5787996 6039648 7717328 8681994 11575992 15434656 17363988 23151984 34727976 46303968 69455952 138911904