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404054040 = 233513259009
BaseRepresentation
bin11000000101010…
…110000000011000
31001011022001221110
4120011112000120
51311414212130
6104032140320
713004255055
oct3005260030
91034261843
10404054040
11198094865
12b33976a0
1365930940
143b93c02c
1525714ab0
hex18156018

404054040 has 64 divisors (see below), whose sum is σ = 1305410400. Its totient is φ = 99459072.

The previous prime is 404054039. The next prime is 404054047. The reversal of 404054040 is 40450404.

It is a junction number, because it is equal to n+sod(n) for n = 404053998 and 404054016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404054047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127945 + ... + 131064.

Almost surely, 2404054040 is an apocalyptic number.

404054040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404054040 is an abundant number, since it is smaller than the sum of its proper divisors (901356360).

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

404054040 is a wasteful number, since it uses less digits than its factorization.

404054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259036 (or 259032 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 404054040 is about 20101.0954925347. The cubic root of 404054040 is about 739.2871391670.

The spelling of 404054040 in words is "four hundred four million, fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 259009 518018 777027 1036036 1295045 1554054 2072072 2590090 3108108 3367117 3885135 5180180 6216216 6734234 7770270 10101351 10360360 13468468 15540540 16835585 20202702 26936936 31081080 33671170 40405404 50506755 67342340 80810808 101013510 134684680 202027020 404054040