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5923840 = 21051389
BaseRepresentation
bin10110100110010000000000
3102010221222111
4112212100000
53004030330
6330545104
7101231446
oct26462000
912127874
105923840
11338673a
121b98194
1312c5440
14b02b96
157c032a
hex5a6400

5923840 has 88 divisors (see below), whose sum is σ = 15475320. Its totient is φ = 2162688.

The previous prime is 5923829. The next prime is 5923843. The reversal of 5923840 is 483295.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 5914624 = 96^2 + 2432^2 .

It is not an unprimeable number, because it can be changed into a prime (5923843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66516 + ... + 66604.

Almost surely, 25923840 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 5923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737660).

5923840 is an abundant number, since it is smaller than the sum of its proper divisors (9551480).

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

5923840 is a wasteful number, since it uses less digits than its factorization.

5923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 5923840 is about 2433.8939993352. The cubic root of 5923840 is about 180.9399391701.

The spelling of 5923840 in words is "five million, nine hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 89 104 128 130 160 178 208 256 260 320 356 416 445 512 520 640 712 832 890 1024 1040 1157 1280 1424 1664 1780 2080 2314 2560 2848 3328 3560 4160 4628 5120 5696 5785 6656 7120 8320 9256 11392 11570 13312 14240 16640 18512 22784 23140 28480 33280 37024 45568 46280 56960 66560 74048 91136 92560 113920 148096 185120 227840 296192 370240 455680 592384 740480 1184768 1480960 2961920 5923840