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1309152272 = 242321371129
BaseRepresentation
bin100111000001000…
…0001010000010000
310101020101211022012
41032002001100100
510140120333042
6333523402052
744304416321
oct11602012020
93336354265
101309152272
11611a8952a
12306523328
1317b2c0a1c
14c5c24448
1579debe82
hex4e081410

1309152272 has 60 divisors (see below), whose sum is σ = 2673279420. Its totient is φ = 620995584.

The previous prime is 1309152259. The next prime is 1309152281. The reversal of 1309152272 is 2722519031.

It can be written as a sum of positive squares in 2 ways, for example, as 398561296 + 910590976 = 19964^2 + 30176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1159004 + ... + 1160132.

It is an arithmetic number, because the mean of its divisors is an integer number (44554657).

Almost surely, 21309152272 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 1309152272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336639710).

1309152272 is an abundant number, since it is smaller than the sum of its proper divisors (1364127148).

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

1309152272 is a wasteful number, since it uses less digits than its factorization.

1309152272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1309152272 is about 36182.2093300008. The cubic root of 1309152272 is about 1093.9481073882.

The spelling of 1309152272 in words is "one billion, three hundred nine million, one hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 46 92 137 184 274 368 529 548 1058 1096 1129 2116 2192 2258 3151 4232 4516 6302 8464 9032 12604 18064 25208 25967 50416 51934 72473 103868 144946 154673 207736 289892 309346 415472 579784 597241 618692 1159568 1194482 1237384 2388964 2474768 3557479 4777928 7114958 9555856 14229916 28459832 56919664 81822017 163644034 327288068 654576136 1309152272