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104387148 = 223241197359
BaseRepresentation
bin1100011100011…
…01001001001100
321021102102020200
412032031021030
5203210342043
614205213500
72405163465
oct616151114
9237372220
10104387148
1153a18678
122ab61290
131881b658
14dc13d6c
15926e7d3
hex638d24c

104387148 has 72 divisors (see below), whose sum is σ = 272432160. Its totient is φ = 33680640.

The previous prime is 104387147. The next prime is 104387161. The reversal of 104387148 is 841783401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104387147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290593 + ... + 290951.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2104387148 is an apocalyptic number.

104387148 is a gapful number since it is divisible by the number (18) 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 104387148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136216080).

104387148 is an abundant number, since it is smaller than the sum of its proper divisors (168045012).

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

104387148 is a wasteful number, since it uses less digits than its factorization.

104387148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 104387148 is about 10217.0028873442. The cubic root of 104387148 is about 470.8497499031.

The spelling of 104387148 in words is "one hundred four million, three hundred eighty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 197 246 359 369 394 492 591 718 738 788 1077 1182 1436 1476 1773 2154 2364 3231 3546 4308 6462 7092 8077 12924 14719 16154 24231 29438 32308 44157 48462 58876 70723 72693 88314 96924 132471 141446 145386 176628 212169 264942 282892 290772 424338 529884 636507 848676 1273014 2546028 2899643 5799286 8698929 11598572 17397858 26096787 34795716 52193574 104387148