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104181740 = 2251332371
BaseRepresentation
bin1100011010110…
…10111111101100
321021000222110222
412031122333230
5203132303430
614200550512
72403346565
oct615327754
9237028428
10104181740
1153898313
122aa82438
1318779000
14db9d16c
15922d9e5
hex635afec

104181740 has 48 divisors (see below), whose sum is σ = 237105120. Its totient is φ = 38450880.

The previous prime is 104181713. The next prime is 104181767. The reversal of 104181740 is 47181401.

It is an interprime number because it is at equal distance from previous prime (104181713) and next prime (104181767).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42755 + ... + 45125.

It is an arithmetic number, because the mean of its divisors is an integer number (4939690).

Almost surely, 2104181740 is an apocalyptic number.

104181740 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 104181740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552560).

104181740 is an abundant number, since it is smaller than the sum of its proper divisors (132923380).

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

104181740 is a wasteful number, since it uses less digits than its factorization.

104181740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 104181740 is about 10206.9456743925. The cubic root of 104181740 is about 470.5407086255.

The spelling of 104181740 in words is "one hundred four million, one hundred eighty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2197 2371 3380 4394 4742 8788 9484 10985 11855 21970 23710 30823 43940 47420 61646 123292 154115 308230 400699 616460 801398 1602796 2003495 4006990 5209087 8013980 10418174 20836348 26045435 52090870 104181740