Search a number
-
+
1310199996 = 2237172311741
BaseRepresentation
bin100111000011000…
…0001000010111100
310101022101001111210
41032012001002330
510140402344441
6334002044420
744316342030
oct11606010274
93338331453
101310199996
11612634716
12306949710
1317b599891
14c60181c0
157a057616
hex4e1810bc

1310199996 has 144 divisors (see below), whose sum is σ = 3833403392. Its totient is φ = 340761600.

The previous prime is 1310199973. The next prime is 1310199997. The reversal of 1310199996 is 6999910131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310199997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751686 + ... + 753426.

Almost surely, 21310199996 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 1310199996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916701696).

1310199996 is an abundant number, since it is smaller than the sum of its proper divisors (2523203396).

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

1310199996 is a wasteful number, since it uses less digits than its factorization.

1310199996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 48.

The square root of 1310199996 is about 36196.6848758281. The cubic root of 1310199996 is about 1094.2398610898.

The spelling of 1310199996 in words is "one billion, three hundred ten million, one hundred ninety-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 289 357 372 434 476 527 578 651 714 867 868 1054 1156 1302 1428 1581 1734 1741 2023 2108 2604 3162 3468 3482 3689 4046 5223 6069 6324 6964 7378 8092 8959 10446 11067 12138 12187 14756 17918 20892 22134 24276 24374 26877 29597 35836 36561 44268 48748 53754 53971 59194 62713 73122 88791 107508 107942 118388 125426 146244 161913 177582 188139 207179 215884 250852 323826 355164 376278 377797 414358 503149 621537 647652 752556 755594 828716 917507 1006298 1133391 1243074 1509447 1511188 1835014 2012596 2266782 2486148 2752521 3018894 3522043 3670028 4533564 5505042 6037788 6422549 7044086 10566129 11010084 12845098 14088172 15597619 19267647 21132258 25690196 31195238 38535294 42264516 46792857 62390476 77070588 93585714 109183333 187171428 218366666 327549999 436733332 655099998 1310199996