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1006045404 = 223713921287
BaseRepresentation
bin111011111101110…
…000100011011100
32121010001101211220
4323331300203130
54030021423104
6243455013340
733634146660
oct7375604334
92533041756
101006045404
11476982891
12240b0a250
13130575a50
14978828a0
155d4c77d9
hex3bf708dc

1006045404 has 48 divisors (see below), whose sum is σ = 2889159168. Its totient is φ = 265330368.

The previous prime is 1006045379. The next prime is 1006045427. The reversal of 1006045404 is 4045406001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459552 + ... + 461735.

It is an arithmetic number, because the mean of its divisors is an integer number (60190816).

Almost surely, 21006045404 is an apocalyptic number.

1006045404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006045404 is an abundant number, since it is smaller than the sum of its proper divisors (1883113764).

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

1006045404 is a wasteful number, since it uses less digits than its factorization.

1006045404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921314 (or 921312 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1006045404 is about 31718.2188024485. The cubic root of 1006045404 is about 1002.0110874825.

The spelling of 1006045404 in words is "one billion, six million, forty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 921287 1842574 2763861 3685148 5527722 6449009 11055444 11976731 12898018 19347027 23953462 25796036 35930193 38694054 47906924 71860386 77388108 83837117 143720772 167674234 251511351 335348468 503022702 1006045404