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104007440 = 2456121313
BaseRepresentation
bin1100011001100…
…00011100010000
321020201010101102
412030300130100
5203111214230
614153123532
72402022455
oct614603420
9236633342
10104007440
1153789369
122a9b95a8
1318717884
14db5582c
1591e7045
hex6330710

104007440 has 40 divisors (see below), whose sum is σ = 245793048. Its totient is φ = 40919040.

The previous prime is 104007437. The next prime is 104007451. The reversal of 104007440 is 44700401.

It can be written as a sum of positive squares in 4 ways, for example, as 1106704 + 102900736 = 1052^2 + 10144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5777 + ... + 15536.

Almost surely, 2104007440 is an apocalyptic number.

104007440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104007440 is an abundant number, since it is smaller than the sum of its proper divisors (141785608).

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

104007440 is a wasteful number, since it uses less digits than its factorization.

104007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21387 (or 21381 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 104007440 is about 10198.4037966733. The cubic root of 104007440 is about 470.2781513345.

Adding to 104007440 its reverse (44700401), we get a palindrome (148707841).

The spelling of 104007440 in words is "one hundred four million, seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 21313 42626 85252 106565 170504 213130 341008 426260 852520 1300093 1705040 2600186 5200372 6500465 10400744 13000930 20801488 26001860 52003720 104007440