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104970480 = 24353711821
BaseRepresentation
bin1100100000110…
…11100011110000
321022112001102120
412100123203300
5203333023410
614225514240
72413143246
oct620334360
9238461376
10104970480
115428696a
122b1a2980
1318994014
14dd26796
159337570
hex641b8f0

104970480 has 80 divisors (see below), whose sum is σ = 334231584. Its totient is φ = 27233280.

The previous prime is 104970469. The next prime is 104970491. The reversal of 104970480 is 84079401.

It is an interprime number because it is at equal distance from previous prime (104970469) and next prime (104970491).

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

It is a super-2 number, since 2×1049704802 = 22037603342860800, 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 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, 2970 + ... + 14790.

Almost surely, 2104970480 is an apocalyptic number.

104970480 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 104970480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167115792).

104970480 is an abundant number, since it is smaller than the sum of its proper divisors (229261104).

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

104970480 is a wasteful number, since it uses less digits than its factorization.

104970480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11874 (or 11868 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 104970480 is about 10245.5102361961. The cubic root of 104970480 is about 471.7251823556.

The spelling of 104970480 in words is "one hundred four million, nine hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 11821 23642 35463 47284 59105 70926 94568 118210 141852 177315 189136 236420 283704 354630 437377 472840 567408 709260 874754 945680 1312131 1418520 1749508 2186885 2624262 2837040 3499016 4373770 5248524 6560655 6998032 8747540 10497048 13121310 17495080 20994096 26242620 34990160 52485240 104970480