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1404006604 = 2272111350093
BaseRepresentation
bin101001110101111…
…0111000011001100
310121211212220222121
41103223313003030
510333411202404
6351152422324
746535600500
oct12353670314
93554786877
101404006604
11660585a40
123322479a4
13194b52350
14d4676300
15833d6e54
hex53af70cc

1404006604 has 72 divisors (see below), whose sum is σ = 3357901008. Its totient is φ = 504927360.

The previous prime is 1404006601. The next prime is 1404006619. The reversal of 1404006604 is 4066004041.

It is a super-2 number, since 2×14040066042 = 3942469088151225632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1404006601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2982 + ... + 53074.

It is an arithmetic number, because the mean of its divisors is an integer number (46637514).

Almost surely, 21404006604 is an apocalyptic number.

1404006604 is a gapful number since it is divisible by the number (14) 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 1404006604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678950504).

1404006604 is an abundant number, since it is smaller than the sum of its proper divisors (1953894404).

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

1404006604 is a wasteful number, since it uses less digits than its factorization.

1404006604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50135 (or 50126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1404006604 is about 37470.0761141474. The cubic root of 1404006604 is about 1119.7551027051.

The spelling of 1404006604 in words is "one billion, four hundred four million, six thousand, six hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028 50093 100186 200372 350651 551023 651209 701302 1102046 1302418 1402604 2204092 2454557 2604836 3857161 4558463 4909114 7163299 7714322 9116926 9818228 14326598 15428644 18233852 27000127 28653196 31909241 50143093 54000254 63818482 100286186 108000508 127636964 200572372 351001651 702003302 1404006604