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6023920 = 245731347
BaseRepresentation
bin10110111110101011110000
3102100001021011
4112332223300
53020231140
6333040304
7102126310
oct26765360
912301234
106023920
113444951
122026094
13132bb66
14b2b440
157decea
hex5beaf0

6023920 has 80 divisors (see below), whose sum is σ = 16570368. Its totient is φ = 1992960.

The previous prime is 6023911. The next prime is 6023923. The reversal of 6023920 is 293206.

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

It is a super-2 number, since 2×60239202 = 72575224332800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6023891 and 6023900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6023923) 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, 17187 + ... + 17533.

Almost surely, 26023920 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 6023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285184).

6023920 is an abundant number, since it is smaller than the sum of its proper divisors (10546448).

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

6023920 is a wasteful number, since it uses less digits than its factorization.

6023920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 6023920 is about 2454.3675356393. The cubic root of 6023920 is about 181.9532142350.

The spelling of 6023920 in words is "six million, twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 347 434 496 560 620 694 868 1085 1240 1388 1735 1736 2170 2429 2480 2776 3470 3472 4340 4858 5552 6940 8680 9716 10757 12145 13880 17360 19432 21514 24290 27760 38864 43028 48580 53785 75299 86056 97160 107570 150598 172112 194320 215140 301196 376495 430280 602392 752990 860560 1204784 1505980 3011960 6023920