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1309056084 = 223277516917
BaseRepresentation
bin100111000000110…
…1001110001010100
310101020012221100200
41032001221301110
510140104243314
6333521340500
744303536020
oct11601516124
93336187320
101309056084
11611a23236
12306497730
1317b288ccb
14c5bdb380
1579dcd709
hex4e069c54

1309056084 has 72 divisors (see below), whose sum is σ = 3787300608. Its totient is φ = 373464000.

The previous prime is 1309056037. The next prime is 1309056107. The reversal of 1309056084 is 4806509031.

1309056084 is a `hidden beast` number, since 1 + 3 + 0 + 90 + 560 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185794 + ... + 192710.

Almost surely, 21309056084 is an apocalyptic number.

1309056084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1309056084 is an abundant number, since it is smaller than the sum of its proper divisors (2478244524).

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

1309056084 is a wasteful number, since it uses less digits than its factorization.

1309056084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1309056084 is about 36180.8800887983. The cubic root of 1309056084 is about 1093.9213146664.

The spelling of 1309056084 in words is "one billion, three hundred nine million, fifty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 751 1502 2253 3004 4506 5257 6759 6917 9012 10514 13518 13834 15771 20751 21028 27036 27668 31542 41502 47313 48419 62253 63084 83004 94626 96838 124506 145257 189252 193676 249012 290514 435771 581028 871542 1743084 5194667 10389334 15584001 20778668 31168002 36362669 46752003 62336004 72725338 93504006 109088007 145450676 187008012 218176014 327264021 436352028 654528042 1309056084