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104415740 = 225112133319
BaseRepresentation
bin1100011100101…
…00000111111100
321021110212110122
412032110013330
5203212300430
614205554112
72405343032
oct616240774
9237425418
10104415740
1153a38100
122ab75938
131882b680
14dc20552
159277ee5
hex63941fc

104415740 has 72 divisors (see below), whose sum is σ = 259637280. Its totient is φ = 35038080.

The previous prime is 104415737. The next prime is 104415757. The reversal of 104415740 is 47514401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29801 + ... + 33119.

Almost surely, 2104415740 is an apocalyptic number.

104415740 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 104415740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129818640).

104415740 is an abundant number, since it is smaller than the sum of its proper divisors (155221540).

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

104415740 is a wasteful number, since it uses less digits than its factorization.

104415740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 104415740 is about 10218.4020277145. The cubic root of 104415740 is about 470.8927351025.

The spelling of 104415740 in words is "one hundred four million, four hundred fifteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 3319 6292 6638 7865 13276 15730 16595 31460 33190 36509 43147 66380 73018 86294 146036 172588 182545 215735 365090 401599 431470 474617 730180 803198 862940 949234 1606396 1898468 2007995 2373085 4015990 4746170 5220787 8031980 9492340 10441574 20883148 26103935 52207870 104415740