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104414940 = 223357231201
BaseRepresentation
bin1100011100100…
…11111011011100
321021110211101000
412032103323130
5203212234230
614205550300
72405340510
oct616237334
9237424330
10104414940
1153a37543
122ab75390
131882b1b6
14dc20140
159277b60
hex6393edc

104414940 has 192 divisors, whose sum is σ = 387717120. Its totient is φ = 22809600.

The previous prime is 104414927. The next prime is 104414941. The reversal of 104414940 is 49414401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104414941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86340 + ... + 87540.

It is an arithmetic number, because the mean of its divisors is an integer number (2019360).

Almost surely, 2104414940 is an apocalyptic number.

104414940 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 104414940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193858560).

104414940 is an abundant number, since it is smaller than the sum of its proper divisors (283302180).

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

104414940 is a wasteful number, since it uses less digits than its factorization.

104414940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104414940 is about 10218.3628825757. The cubic root of 104414940 is about 470.8915324896.

The spelling of 104414940 in words is "one hundred four million, four hundred fourteen thousand, nine hundred forty".