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139990400 = 2752114197
BaseRepresentation
bin10000101100000…
…01010110000000
3100202102020201122
420112001112000
5241314143100
621520251412
73316620164
oct1026012600
9322366648
10139990400
1172025950
123aa70b68
1323005b74
1414840ca4
15c453985
hex8581580

139990400 has 192 divisors, whose sum is σ = 390443760. Its totient is φ = 49152000.

The previous prime is 139990379. The next prime is 139990447. The reversal of 139990400 is 4099931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443152 + ... + 1443248.

Almost surely, 2139990400 is an apocalyptic number.

139990400 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 139990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195221880).

139990400 is an abundant number, since it is smaller than the sum of its proper divisors (250453360).

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

139990400 is a wasteful number, since it uses less digits than its factorization.

139990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 139990400 is about 11831.7538852023. The cubic root of 139990400 is about 519.2375413559.

The spelling of 139990400 in words is "one hundred thirty-nine million, nine hundred ninety thousand, four hundred".