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138046200 = 23352230077
BaseRepresentation
bin10000011101001…
…10101011111000
3100121202110210020
420032212223320
5240314434300
621410450440
73264242025
oct1016465370
9317673706
10138046200
1170a18176
123a293a20
13227a4c56
141449654c
15c1bc8a0
hex83a6af8

138046200 has 48 divisors (see below), whose sum is σ = 427945080. Its totient is φ = 36812160.

The previous prime is 138046199. The next prime is 138046201. The reversal of 138046200 is 2640831.

It is a happy number.

138046200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138046199) and next prime (138046201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138046201) 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, 114439 + ... + 115638.

Almost surely, 2138046200 is an apocalyptic number.

138046200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138046200 is an abundant number, since it is smaller than the sum of its proper divisors (289898880).

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

138046200 is a wasteful number, since it uses less digits than its factorization.

138046200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230096 (or 230087 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 138046200 is about 11749.3063625050. The cubic root of 138046200 is about 516.8225867721.

The spelling of 138046200 in words is "one hundred thirty-eight million, forty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 230077 460154 690231 920308 1150385 1380462 1840616 2300770 2760924 3451155 4601540 5521848 5751925 6902310 9203080 11503850 13804620 17255775 23007700 27609240 34511550 46015400 69023100 138046200