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138383472 = 243732541
BaseRepresentation
bin10000011111110…
…01000001110000
3100122101121102210
420033321001300
5240411232342
621422012120
73300145233
oct1017710160
9318347383
10138383472
1171128607
123a417040
1322892616
141454341a
15c23779c
hex83f9070

138383472 has 60 divisors (see below), whose sum is σ = 363124824. Its totient is φ = 45411840.

The previous prime is 138383471. The next prime is 138383501. The reversal of 138383472 is 274383831.

It is a self number, because there is not a number n which added to its sum of digits gives 138383472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138383471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255522 + ... + 256062.

Almost surely, 2138383472 is an apocalyptic number.

138383472 is a gapful number since it is divisible by the number (12) 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 138383472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181562412).

138383472 is an abundant number, since it is smaller than the sum of its proper divisors (224741352).

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

138383472 is an equidigital number, since it uses as much as digits as its factorization.

138383472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 619 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 138383472 is about 11763.6504538345. The cubic root of 138383472 is about 517.2431416853.

The spelling of 138383472 in words is "one hundred thirty-eight million, three hundred eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 541 584 876 1082 1168 1623 1752 2164 3246 3504 4328 5329 6492 8656 10658 12984 15987 21316 25968 31974 39493 42632 63948 78986 85264 118479 127896 157972 236958 255792 315944 473916 631888 947832 1895664 2882989 5765978 8648967 11531956 17297934 23063912 34595868 46127824 69191736 138383472