Search a number
-
+
1313110872 = 233317541661
BaseRepresentation
bin100111001000100…
…0111101101011000
310101111211221111000
41032101013231120
510142124021442
6334144305000
744353154403
oct11621075530
93344757430
101313110872
116142426a7
12307912160
1317c0787a8
14c6574d3a
157a42ed4c
hex4e447b58

1313110872 has 128 divisors (see below), whose sum is σ = 3875083200. Its totient is φ = 410572800.

The previous prime is 1313110861. The next prime is 1313110873. The reversal of 1313110872 is 2780113131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313110873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1986222 + ... + 1986882.

Almost surely, 21313110872 is an apocalyptic number.

1313110872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313110872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937541600).

1313110872 is an abundant number, since it is smaller than the sum of its proper divisors (2561972328).

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

1313110872 is a wasteful number, since it uses less digits than its factorization.

1313110872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1313110872 is about 36236.8717192861. The cubic root of 1313110872 is about 1095.0496205699.

The spelling of 1313110872 in words is "one billion, three hundred thirteen million, one hundred ten thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 541 612 661 918 1082 1224 1322 1623 1836 1983 2164 2644 3246 3672 3966 4328 4869 5288 5949 6492 7932 9197 9738 11237 11898 12984 14607 15864 17847 18394 19476 22474 23796 27591 29214 33711 35694 36788 38952 44948 47592 55182 58428 67422 71388 73576 82773 89896 101133 110364 116856 134844 142776 165546 202266 220728 248319 269688 303399 331092 357601 404532 496638 606798 662184 715202 809064 993276 1072803 1213596 1430404 1986552 2145606 2427192 2860808 3218409 4291212 6079217 6436818 8582424 9655227 12158434 12873636 18237651 19310454 24316868 25747272 36475302 38620908 48633736 54712953 72950604 77241816 109425906 145901208 164138859 218851812 328277718 437703624 656555436 1313110872