Search a number
-
+
138200600 = 23522512753
BaseRepresentation
bin10000011110011…
…00011000011000
3100122001022120202
420033030120120
5240334404400
621414041332
73265454126
oct1017143030
9318038522
10138200600
117101317a
123a349248
132282a305
14144d6916
15c1ed4d5
hex83cc618

138200600 has 48 divisors (see below), whose sum is σ = 322713720. Its totient is φ = 55040000.

The previous prime is 138200591. The next prime is 138200609. The reversal of 138200600 is 6002831.

It is an interprime number because it is at equal distance from previous prime (138200591) and next prime (138200609).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138200609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48824 + ... + 51576.

Almost surely, 2138200600 is an apocalyptic number.

138200600 is a gapful number since it is divisible by the number (10) 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 138200600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161356860).

138200600 is an abundant number, since it is smaller than the sum of its proper divisors (184513120).

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

138200600 is a wasteful number, since it uses less digits than its factorization.

138200600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 138200600 is about 11755.8751269312. The cubic root of 138200600 is about 517.0151978342.

The spelling of 138200600 in words is "one hundred thirty-eight million, two hundred thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 251 502 1004 1255 2008 2510 2753 5020 5506 6275 10040 11012 12550 13765 22024 25100 27530 50200 55060 68825 110120 137650 275300 550600 691003 1382006 2764012 3455015 5528024 6910030 13820060 17275075 27640120 34550150 69100300 138200600