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40900104 = 23327211593
BaseRepresentation
bin1001110000000…
…1011000001000
32211221221101200
42130001120020
540432300404
64020344200
71004434200
oct234013010
984857350
1040900104
11210a5943
1211845060
13862045b
145609400
1538cd839
hex2701608

40900104 has 72 divisors (see below), whose sum is σ = 128867310. Its totient is φ = 11684736.

The previous prime is 40900099. The next prime is 40900109. The reversal of 40900104 is 40100904.

It is an interprime number because it is at equal distance from previous prime (40900099) and next prime (40900109).

It can be written as a sum of positive squares in only one way, i.e., 24980004 + 15920100 = 4998^2 + 3990^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40900109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2269 + ... + 9324.

Almost surely, 240900104 is an apocalyptic number.

It is an amenable number.

40900104 is an abundant number, since it is smaller than the sum of its proper divisors (87967206).

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

40900104 is a wasteful number, since it uses less digits than its factorization.

40900104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11619 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40900104 is about 6395.3189130801. The cubic root of 40900104 is about 344.5414449742.

The spelling of 40900104 in words is "forty million, nine hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 11593 23186 34779 46372 69558 81151 92744 104337 139116 162302 208674 243453 278232 324604 417348 486906 568057 649208 730359 834696 973812 1136114 1460718 1704171 1947624 2272228 2921436 3408342 4544456 5112513 5842872 6816684 10225026 13633368 20450052 40900104