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5306040 = 23335173
BaseRepresentation
bin10100001111011010111000
3100222120112000
4110033122320
52324243130
6305421000
763046335
oct24173270
910876460
105306040
112aa4563
12193a760
13113a18c
149c198c
156ec260
hex50f6b8

5306040 has 128 divisors (see below), whose sum is σ = 18792000. Its totient is φ = 1331712.

The previous prime is 5306033. The next prime is 5306051. The reversal of 5306040 is 406035.

5306040 = 2172 + 2182 + ... + 2962.

It is a happy number.

5306040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×53060403 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312112 + ... + 312128.

Almost surely, 25306040 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 5306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9396000).

5306040 is an abundant number, since it is smaller than the sum of its proper divisors (13485960).

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

5306040 is a wasteful number, since it uses less digits than its factorization.

5306040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5306040 is about 2303.4843172898. The cubic root of 5306040 is about 174.4175465610.

The spelling of 5306040 in words is "five million, three hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 289 306 340 360 408 459 510 540 578 612 680 765 867 918 1020 1080 1156 1224 1445 1530 1734 1836 2040 2295 2312 2601 2890 3060 3468 3672 4335 4590 4913 5202 5780 6120 6936 7803 8670 9180 9826 10404 11560 13005 14739 15606 17340 18360 19652 20808 24565 26010 29478 31212 34680 39015 39304 44217 49130 52020 58956 62424 73695 78030 88434 98260 104040 117912 132651 147390 156060 176868 196520 221085 265302 294780 312120 353736 442170 530604 589560 663255 884340 1061208 1326510 1768680 2653020 5306040