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104954640 = 2435762473
BaseRepresentation
bin1100100000101…
…11101100010000
321022111020200220
412100113230100
5203332022030
614225313040
72413046130
oct620275420
9238436626
10104954640
1154275a7a
122b195780
1318989a4b
14dd20ac0
159332a10
hex6417b10

104954640 has 80 divisors (see below), whose sum is σ = 371845248. Its totient is φ = 23989248.

The previous prime is 104954627. The next prime is 104954653. The reversal of 104954640 is 46459401.

It is an interprime number because it is at equal distance from previous prime (104954627) and next prime (104954653).

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

It is a super-2 number, since 2×1049546402 = 22030952915059200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29557 + ... + 32916.

Almost surely, 2104954640 is an apocalyptic number.

104954640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104954640 is an abundant number, since it is smaller than the sum of its proper divisors (266890608).

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

104954640 is a wasteful number, since it uses less digits than its factorization.

104954640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62496 (or 62490 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 104954640 is about 10244.7371855016. The cubic root of 104954640 is about 471.7014534534.

The spelling of 104954640 in words is "one hundred four million, nine hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 62473 124946 187419 249892 312365 374838 437311 499784 624730 749676 874622 937095 999568 1249460 1311933 1499352 1749244 1874190 2186555 2498920 2623866 2998704 3498488 3748380 4373110 4997840 5247732 6559665 6996976 7496760 8746220 10495464 13119330 14993520 17492440 20990928 26238660 34984880 52477320 104954640