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104663040 = 211353407
BaseRepresentation
bin1100011110100…
…00100000000000
321021221102200220
412033100200000
5203243204130
614215143040
72410423026
oct617204000
9237842626
10104663040
1154096989
122b074a80
13188b70c1
14dc86716
1592c6410
hex63d0800

104663040 has 96 divisors (see below), whose sum is σ = 334938240. Its totient is φ = 27901952.

The previous prime is 104663029. The next prime is 104663051. The reversal of 104663040 is 40366401.

It is an interprime number because it is at equal distance from previous prime (104663029) and next prime (104663051).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 104663040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29017 + ... + 32423.

It is an arithmetic number, because the mean of its divisors is an integer number (3488940).

Almost surely, 2104663040 is an apocalyptic number.

104663040 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 104663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167469120).

104663040 is an abundant number, since it is smaller than the sum of its proper divisors (230275200).

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

104663040 is an equidigital number, since it uses as much as digits as its factorization.

104663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3417 counting only the distinct ones).

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

The square root of 104663040 is about 10230.4955891687. The cubic root of 104663040 is about 471.2641987621.

The spelling of 104663040 in words is "one hundred four million, six hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3407 3840 5120 6144 6814 7680 10221 10240 13628 15360 17035 20442 27256 30720 34070 40884 51105 54512 68140 81768 102210 109024 136280 163536 204420 218048 272560 327072 408840 436096 545120 654144 817680 872192 1090240 1308288 1635360 1744384 2180480 2616576 3270720 3488768 4360960 5233152 6541440 6977536 8721920 10466304 13082880 17443840 20932608 26165760 34887680 52331520 104663040