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104862480 = 2435601727
BaseRepresentation
bin1100100000000…
…01001100010000
321022022120021120
412100001030100
5203321044410
614223322240
72412213342
oct620011420
9238276246
10104862480
1154212808
122b150380
1318956b08
14dcd9292
159315570
hex6401310

104862480 has 80 divisors (see below), whose sum is σ = 326062464. Its totient is φ = 27878400.

The previous prime is 104862427. The next prime is 104862523. The reversal of 104862480 is 84268401.

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

It is a super-2 number, since 2×1048624802 = 21992279423500800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143877 + ... + 144603.

Almost surely, 2104862480 is an apocalyptic number.

104862480 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 104862480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163031232).

104862480 is an abundant number, since it is smaller than the sum of its proper divisors (221199984).

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

104862480 is a wasteful number, since it uses less digits than its factorization.

104862480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 104862480 is about 10240.2382784777. The cubic root of 104862480 is about 471.5633470094.

The spelling of 104862480 in words is "one hundred four million, eight hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 601 727 1202 1454 1803 2181 2404 2908 3005 3606 3635 4362 4808 5816 6010 7212 7270 8724 9015 9616 10905 11632 12020 14424 14540 17448 18030 21810 24040 28848 29080 34896 36060 43620 48080 58160 72120 87240 144240 174480 436927 873854 1310781 1747708 2184635 2621562 3495416 4369270 5243124 6553905 6990832 8738540 10486248 13107810 17477080 20972496 26215620 34954160 52431240 104862480