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1323920 = 245131967
BaseRepresentation
bin101000011001110010000
32111021002002
411003032100
5314331140
644213132
714152553
oct5031620
92437062
101323920
11824754
1253a1a8
133747b0
1426669a
151b2415
hex143390

1323920 has 80 divisors (see below), whose sum is σ = 3541440. Its totient is φ = 456192.

The previous prime is 1323919. The next prime is 1323923. The reversal of 1323920 is 293231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1323892 and 1323901.

It is not an unprimeable number, because it can be changed into a prime (1323923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19727 + ... + 19793.

It is an arithmetic number, because the mean of its divisors is an integer number (44268).

21323920 is an apocalyptic number.

1323920 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 1323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770720).

1323920 is an abundant number, since it is smaller than the sum of its proper divisors (2217520).

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

1323920 is a wasteful number, since it uses less digits than its factorization.

1323920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1323920 is about 1150.6172256663. The cubic root of 1323920 is about 109.8046118237.

The spelling of 1323920 in words is "one million, three hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 67 76 80 95 104 130 134 152 190 208 247 260 268 304 335 380 494 520 536 670 760 871 988 1040 1072 1235 1273 1340 1520 1742 1976 2470 2546 2680 3484 3952 4355 4940 5092 5360 6365 6968 8710 9880 10184 12730 13936 16549 17420 19760 20368 25460 33098 34840 50920 66196 69680 82745 101840 132392 165490 264784 330980 661960 1323920