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1307320 = 235722329
BaseRepresentation
bin100111111001010111000
32110102022021
410333022320
5313313240
644004224
714053300
oct4771270
92412267
101307320
11813233
12530674
1336a081
14260600
151ac54a
hex13f2b8

1307320 has 96 divisors (see below), whose sum is σ = 3693600. Its totient is φ = 413952.

The previous prime is 1307311. The next prime is 1307347. The reversal of 1307320 is 237031.

It is a junction number, because it is equal to n+sod(n) for n = 1307294 and 1307303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45066 + ... + 45094.

It is an arithmetic number, because the mean of its divisors is an integer number (38475).

21307320 is an apocalyptic number.

1307320 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 1307320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846800).

1307320 is an abundant number, since it is smaller than the sum of its proper divisors (2386280).

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

1307320 is a wasteful number, since it uses less digits than its factorization.

1307320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 1307320 is about 1143.3809513893. The cubic root of 1307320 is about 109.3437510729.

The spelling of 1307320 in words is "one million, three hundred seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 29 35 40 46 49 56 58 70 92 98 115 116 140 145 161 184 196 203 230 232 245 280 290 322 392 406 460 490 580 644 667 805 812 920 980 1015 1127 1160 1288 1334 1421 1610 1624 1960 2030 2254 2668 2842 3220 3335 4060 4508 4669 5336 5635 5684 6440 6670 7105 8120 9016 9338 11270 11368 13340 14210 18676 22540 23345 26680 28420 32683 37352 45080 46690 56840 65366 93380 130732 163415 186760 261464 326830 653660 1307320