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1303220272 = 2417103181257
BaseRepresentation
bin100110110101101…
…1001000000110000
310100211020110010111
41031223121000300
510132111022042
6333152311104
744203122004
oct11553310060
93324213114
101303220272
116096a7752
12304542494
13179cc4973
14c511c704
1579629517
hex4dad9030

1303220272 has 80 divisors (see below), whose sum is σ = 2724950592. Its totient is φ = 601620480.

The previous prime is 1303220231. The next prime is 1303220293. The reversal of 1303220272 is 2720223031.

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 15 ways as a sum of consecutive naturals, for example, 5070768 + ... + 5071024.

Almost surely, 21303220272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303220272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362475296).

1303220272 is an abundant number, since it is smaller than the sum of its proper divisors (1421730320).

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

1303220272 is a wasteful number, since it uses less digits than its factorization.

1303220272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 1303220272 is about 36100.1422711878. The cubic root of 1303220272 is about 1092.2933148307.

The spelling of 1303220272 in words is "one billion, three hundred three million, two hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 68 103 136 181 206 257 272 362 412 514 724 824 1028 1448 1648 1751 2056 2896 3077 3502 4112 4369 6154 7004 8738 12308 14008 17476 18643 24616 26471 28016 34952 37286 46517 49232 52942 69904 74572 93034 105884 149144 186068 211768 298288 316931 372136 423536 450007 633862 744272 790789 900014 1267724 1581578 1800028 2535448 3163156 3600056 4791251 5070896 6326312 7200112 9582502 12652624 19165004 38330008 76660016 81451267 162902534 325805068 651610136 1303220272