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104630640 = 24351972213
BaseRepresentation
bin1100011110010…
…00100101110000
321021212210020220
412033020211300
5203241140030
614214333040
72410226412
oct617104560
9237783226
10104630640
1154074604
122b05a180
13188a542a
14dc789b2
1592bba10
hex63c8970

104630640 has 80 divisors (see below), whose sum is σ = 326148768. Its totient is φ = 27747328.

The previous prime is 104630633. The next prime is 104630683. The reversal of 104630640 is 46036401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104630640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46174 + ... + 48386.

Almost surely, 2104630640 is an apocalyptic number.

104630640 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 104630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163074384).

104630640 is an abundant number, since it is smaller than the sum of its proper divisors (221518128).

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

104630640 is a wasteful number, since it uses less digits than its factorization.

104630640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 104630640 is about 10228.9119656003. The cubic root of 104630640 is about 471.2155647971.

The spelling of 104630640 in words is "one hundred four million, six hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1576 1970 2213 2364 2955 3152 3940 4426 4728 5910 6639 7880 8852 9456 11065 11820 13278 15760 17704 22130 23640 26556 33195 35408 44260 47280 53112 66390 88520 106224 132780 177040 265560 435961 531120 871922 1307883 1743844 2179805 2615766 3487688 4359610 5231532 6539415 6975376 8719220 10463064 13078830 17438440 20926128 26157660 34876880 52315320 104630640