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138269292 = 22373314973
BaseRepresentation
bin10000011110111…
…01001001101100
3100122011210210220
420033131021230
5240344104132
621415331340
73266161320
oct1017351154
9318153726
10138269292
117105a847
123a380b50
1322852665
1414513980
15c213a2c
hex83dd26c

138269292 has 48 divisors (see below), whose sum is σ = 369906432. Its totient is φ = 39378240.

The previous prime is 138269291. The next prime is 138269297. The reversal of 138269292 is 292962831.

138269292 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1382692922 = 38236794220362528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (138269291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25318 + ... + 30290.

It is an arithmetic number, because the mean of its divisors is an integer number (7706384).

Almost surely, 2138269292 is an apocalyptic number.

138269292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138269292 is an abundant number, since it is smaller than the sum of its proper divisors (231637140).

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

138269292 is a wasteful number, since it uses less digits than its factorization.

138269292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 5316 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 138269292 is about 11758.7963669757. The cubic root of 138269292 is about 517.1008436887.

The spelling of 138269292 in words is "one hundred thirty-eight million, two hundred sixty-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 331 662 993 1324 1986 2317 3972 4634 4973 6951 9268 9946 13902 14919 19892 27804 29838 34811 59676 69622 104433 139244 208866 417732 1646063 3292126 4938189 6584252 9876378 11522441 19752756 23044882 34567323 46089764 69134646 138269292