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104070460 = 22513571701
BaseRepresentation
bin1100011001111…
…11110100111100
321020211022211111
412030333310330
5203120223320
614154331404
72402404264
oct614776474
9236738744
10104070460
115382174a
122aa29b64
131873a470
14db707a4
15920aa5a
hex633fd3c

104070460 has 48 divisors (see below), whose sum is σ = 236107872. Its totient is φ = 38304000.

The previous prime is 104070457. The next prime is 104070487. The reversal of 104070460 is 64070401.

It is a super-2 number, since 2×1040704602 = 21661321289223200, which contains 22 as substring.

104070460 is a modest number, since divided by 70460 gives 1040 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148110 + ... + 148810.

It is an arithmetic number, because the mean of its divisors is an integer number (4918914).

Almost surely, 2104070460 is an apocalyptic number.

104070460 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 104070460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118053936).

104070460 is an abundant number, since it is smaller than the sum of its proper divisors (132037412).

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

104070460 is a wasteful number, since it uses less digits than its factorization.

104070460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 104070460 is about 10201.4930279837. The cubic root of 104070460 is about 470.3731155193.

The spelling of 104070460 in words is "one hundred four million, seventy thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 571 701 1142 1402 2284 2804 2855 3505 5710 7010 7423 9113 11420 14020 14846 18226 29692 36452 37115 45565 74230 91130 148460 182260 400271 800542 1601084 2001355 4002710 5203523 8005420 10407046 20814092 26017615 52035230 104070460