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1310422320 = 243354114797
BaseRepresentation
bin100111000011011…
…0111010100110000
310101022210100111000
41032012313110300
510140432003240
6334010522000
744321256144
oct11606672460
93338710430
101310422320
11612776759
12306a36300
1317b646b2c
14c6075224
157a09d430
hex4e1b7530

1310422320 has 160 divisors (see below), whose sum is σ = 4624079040. Its totient is φ = 340899840.

The previous prime is 1310422319. The next prime is 1310422327. The reversal of 1310422320 is 232240131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310422293 and 1310422302.

It is not an unprimeable number, because it can be changed into a prime (1310422327) 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, 81162 + ... + 95958.

It is an arithmetic number, because the mean of its divisors is an integer number (28900494).

Almost surely, 21310422320 is an apocalyptic number.

1310422320 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 1310422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312039520).

1310422320 is an abundant number, since it is smaller than the sum of its proper divisors (3313656720).

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

1310422320 is a wasteful number, since it uses less digits than its factorization.

1310422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14860 (or 14848 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1310422320 is about 36199.7558002813. The cubic root of 1310422320 is about 1094.3017503751.

Adding to 1310422320 its reverse (232240131), we get a palindrome (1542662451).

The spelling of 1310422320 in words is "one billion, three hundred ten million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1476 1640 1845 1968 2160 2214 2460 2952 3280 3690 4428 4920 5535 5904 7380 8856 9840 11070 14760 14797 17712 22140 29520 29594 44280 44391 59188 73985 88560 88782 118376 133173 147970 177564 221955 236752 266346 295940 355128 399519 443910 532692 591880 606677 665865 710256 799038 887820 1065384 1183760 1213354 1331730 1598076 1775640 1820031 1997595 2130768 2426708 2663460 3033385 3196152 3551280 3640062 3995190 4853416 5326920 5460093 6066770 6392304 7280124 7990380 9100155 9706832 10653840 10920186 12133540 14560248 15980760 16380279 18200310 21840372 24267080 27300465 29120496 31961520 32760558 36400620 43680744 48534160 54600930 65521116 72801240 81901395 87361488 109201860 131042232 145602480 163802790 218403720 262084464 327605580 436807440 655211160 1310422320