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1470685056 = 27311333893
BaseRepresentation
bin101011110101000…
…1101111110000000
310210111100112121220
41113222031332000
511002443410211
6401533515040
751305421351
oct12752157600
93714315556
101470685056
116951884a5
12350642a80
131a58ca059
14dd471d28
15891a8806
hex57a8df80

1470685056 has 64 divisors (see below), whose sum is σ = 3941194320. Its totient is φ = 485875712.

The previous prime is 1470685031. The next prime is 1470685109. The reversal of 1470685056 is 6505860741.

1470685056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1470684999 and 1470685017.

It is a congruent number.

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, 26446 + ... + 60338.

Almost surely, 21470685056 is an apocalyptic number.

1470685056 is a gapful number since it is divisible by the number (16) 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 1470685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970597160).

1470685056 is an abundant number, since it is smaller than the sum of its proper divisors (2470509264).

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

1470685056 is a wasteful number, since it uses less digits than its factorization.

1470685056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34023 (or 34011 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 1470685056 is about 38349.5118091482. The cubic root of 1470685056 is about 1137.2079658640.

The spelling of 1470685056 in words is "one billion, four hundred seventy million, six hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 2712 3616 5424 7232 10848 14464 21696 33893 43392 67786 101679 135572 203358 271144 406716 542288 813432 1084576 1626864 2169152 3253728 3829909 4338304 6507456 7659818 11489727 13014912 15319636 22979454 30639272 45958908 61278544 91917816 122557088 183835632 245114176 367671264 490228352 735342528 1470685056