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139854240 = 253251729197
BaseRepresentation
bin10000101011000…
…00000110100000
3100202011022221200
420111200012200
5241300313430
621513321200
73315512211
oct1025400640
9322138850
10139854240
1171a42619
123aa06200
1322c88bb6
1414807408
15c428460
hex85601a0

139854240 has 288 divisors, whose sum is σ = 525404880. Its totient is φ = 33718272.

The previous prime is 139854233. The next prime is 139854287. The reversal of 139854240 is 42458931.

It can be written as a sum of positive squares in 8 ways, for example, as 121088016 + 18766224 = 11004^2 + 4332^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 139854195 and 139854204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709822 + ... + 710018.

Almost surely, 2139854240 is an apocalyptic number.

139854240 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 139854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262702440).

139854240 is an abundant number, since it is smaller than the sum of its proper divisors (385550640).

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

139854240 is a wasteful number, since it uses less digits than its factorization.

139854240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 139854240 is about 11825.9984779299. The cubic root of 139854240 is about 519.0691433380.

Adding to 139854240 its sum of digits (36), we get a square (139854276 = 118262).

It can be divided in two parts, 13985 and 4240, that added together give a square (18225 = 1352).

The spelling of 139854240 in words is "one hundred thirty-nine million, eight hundred fifty-four thousand, two hundred forty".