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1305697272 = 233117367751
BaseRepresentation
bin100110111010011…
…0101101111111000
310100222220021221020
41031310311233320
510133224303042
6333321342440
744233146405
oct11564655770
93328807836
101305697272
11610039760
12305337a20
1317a681249
14c55a52ac
15799683ec
hex4dd35bf8

1305697272 has 64 divisors (see below), whose sum is σ = 3609826560. Its totient is φ = 390240000.

The previous prime is 1305697249. The next prime is 1305697331. The reversal of 1305697272 is 2727965031.

It is a super-2 number, since 2×13056972722 = 3409690732216483968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14604 + ... + 53147.

It is an arithmetic number, because the mean of its divisors is an integer number (56403540).

Almost surely, 21305697272 is an apocalyptic number.

1305697272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305697272 is an abundant number, since it is smaller than the sum of its proper divisors (2304129288).

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

1305697272 is a wasteful number, since it uses less digits than its factorization.

1305697272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67844 (or 67840 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 1305697272 is about 36134.4333288900. The cubic root of 1305697272 is about 1092.9849088877.

The spelling of 1305697272 in words is "one billion, three hundred five million, six hundred ninety-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 19272 67751 135502 203253 271004 406506 542008 745261 813012 1490522 1626024 2235783 2981044 4471566 4945823 5962088 8943132 9891646 14837469 17886264 19783292 29674938 39566584 54404053 59349876 108808106 118699752 163212159 217616212 326424318 435232424 652848636 1305697272