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1299505312 = 25729251797
BaseRepresentation
bin100110101110100…
…1110000010100000
310100120020201011101
41031131032002200
510130133132222
6332540524144
744126420140
oct11535160240
93316221141
101299505312
1160759a636
12303250654
131792c3a71
14c4832920
1579143927
hex4d74e0a0

1299505312 has 96 divisors (see below), whose sum is σ = 3040571520. Its totient is φ = 534912000.

The previous prime is 1299505309. The next prime is 1299505321. The reversal of 1299505312 is 2135059921.

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, 1630098 + ... + 1630894.

It is an arithmetic number, because the mean of its divisors is an integer number (31672620).

Almost surely, 21299505312 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 1299505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520285760).

1299505312 is an abundant number, since it is smaller than the sum of its proper divisors (1741066208).

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

1299505312 is a wasteful number, since it uses less digits than its factorization.

1299505312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 1299505312 is about 36048.6520136329. The cubic root of 1299505312 is about 1091.2544298664.

The spelling of 1299505312 in words is "one billion, two hundred ninety-nine million, five hundred five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 251 406 464 502 797 812 928 1004 1594 1624 1757 2008 3188 3248 3514 4016 5579 6376 6496 7028 7279 8032 11158 12752 14056 14558 22316 23113 25504 28112 29116 44632 46226 50953 56224 58232 89264 92452 101906 116464 161791 178528 184904 200047 203812 232928 323582 369808 400094 407624 647164 739616 800188 815248 1294328 1400329 1600376 1630496 2588656 2800658 3200752 5177312 5601316 5801363 6401504 11202632 11602726 22405264 23205452 40609541 44810528 46410904 81219082 92821808 162438164 185643616 324876328 649752656 1299505312