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104377140 = 22335753521
BaseRepresentation
bin1100011100010…
…10101100110100
321021101220112000
412032022230310
5203210032030
614205055300
72405122350
oct616125464
9237356460
10104377140
1153a110aa
122ab57530
1318816c2a
14dc10460
15926b860
hex638ab34

104377140 has 192 divisors, whose sum is σ = 378846720. Its totient is φ = 23362560.

The previous prime is 104377129. The next prime is 104377159. The reversal of 104377140 is 41773401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200080 + ... + 200600.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 2104377140 is an apocalyptic number.

104377140 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 104377140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189423360).

104377140 is an abundant number, since it is smaller than the sum of its proper divisors (274469580).

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

104377140 is a wasteful number, since it uses less digits than its factorization.

104377140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 104377140 is about 10216.5131037943. The cubic root of 104377140 is about 470.8347020261.

The spelling of 104377140 in words is "one hundred four million, three hundred seventy-seven thousand, one hundred forty".