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103942080 = 263251117193
BaseRepresentation
bin1100011001000…
…00011111000000
321020120210201200
412030200133000
5203102121310
614151501200
72401331064
oct614403700
9236523650
10103942080
1153744250
122a987800
13186c3bb8
14db39aa4
1591d29c0
hex63207c0

103942080 has 336 divisors, whose sum is σ = 415101024. Its totient is φ = 23592960.

The previous prime is 103942079. The next prime is 103942087. The reversal of 103942080 is 80249301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103942087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538464 + ... + 538656.

Almost surely, 2103942080 is an apocalyptic number.

103942080 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 103942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207550512).

103942080 is an abundant number, since it is smaller than the sum of its proper divisors (311158944).

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

103942080 is a wasteful number, since it uses less digits than its factorization.

103942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103942080 is about 10195.1988700564. The cubic root of 103942080 is about 470.1796204959.

The spelling of 103942080 in words is "one hundred three million, nine hundred forty-two thousand, eighty".