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1313240320 = 2857971511
BaseRepresentation
bin100111001000110…
…0111010100000000
310101112002112001101
41032101213110000
510142142142240
6334151144144
744354233660
oct11621472400
93345075041
101313240320
11614320987
12307975054
1317c0c26a2
14c65aa1a0
157a45839a
hex4e467500

1313240320 has 144 divisors (see below), whose sum is σ = 3634460928. Its totient is φ = 445317120.

The previous prime is 1313240261. The next prime is 1313240333. The reversal of 1313240320 is 230423131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868365 + ... + 869875.

It is an arithmetic number, because the mean of its divisors is an integer number (25239312).

Almost surely, 21313240320 is an apocalyptic number.

1313240320 is a gapful number since it is divisible by the number (10) 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 1313240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817230464).

1313240320 is an abundant number, since it is smaller than the sum of its proper divisors (2321220608).

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

1313240320 is an equidigital number, since it uses as much as digits as its factorization.

1313240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1313240320 is about 36238.6578117899. The cubic root of 1313240320 is about 1095.0856031435.

Adding to 1313240320 its reverse (230423131), we get a palindrome (1543663451).

The spelling of 1313240320 in words is "one billion, three hundred thirteen million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 97 112 128 140 160 194 224 256 280 320 388 448 485 560 640 679 776 896 970 1120 1280 1358 1511 1552 1792 1940 2240 2716 3022 3104 3395 3880 4480 5432 6044 6208 6790 7555 7760 8960 10577 10864 12088 12416 13580 15110 15520 21154 21728 24176 24832 27160 30220 31040 42308 43456 48352 52885 54320 60440 62080 84616 86912 96704 105770 108640 120880 124160 146567 169232 173824 193408 211540 217280 241760 293134 338464 386816 423080 434560 483520 586268 676928 732835 846160 869120 967040 1025969 1172536 1353856 1465670 1692320 1934080 2051938 2345072 2707712 2931340 3384640 4103876 4690144 5129845 5862680 6769280 8207752 9380288 10259690 11725360 13538560 16415504 18760576 20519380 23450720 32831008 37521152 41038760 46901440 65662016 82077520 93802880 131324032 164155040 187605760 262648064 328310080 656620160 1313240320