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139339200 = 263527111329
BaseRepresentation
bin10000100111000…
…10010111000000
3100201012011110010
420103202113000
5241132323300
621454304520
73311235510
oct1023422700
9321164403
10139339200
1171720670
123a7b8140
1322b38640
1414711840
15c375a50
hex84e25c0

139339200 has 672 divisors, whose sum is σ = 634959360. Its totient is φ = 25804800.

The previous prime is 139339199. The next prime is 139339219. The reversal of 139339200 is 2933931.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804786 + ... + 4804814.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 2139339200 is an apocalyptic number.

139339200 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 139339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317479680).

139339200 is an abundant number, since it is smaller than the sum of its proper divisors (495620160).

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

139339200 is a wasteful number, since it uses less digits than its factorization.

139339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 139339200 is about 11804.2026414324. The cubic root of 139339200 is about 518.4311690602.

The spelling of 139339200 in words is "one hundred thirty-nine million, three hundred thirty-nine thousand, two hundred".