Search a number
-
+
5213040 = 2435729107
BaseRepresentation
bin10011111000101101110000
3100210211221120
4103320231300
52313304130
6303422240
762211240
oct23705560
910724846
105213040
112a406a8
1218b4980
131106a51
14999b20
156ce910
hex4f8b70

5213040 has 160 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 1139712.

The previous prime is 5213023. The next prime is 5213057. The reversal of 5213040 is 403125.

It is an interprime number because it is at equal distance from previous prime (5213023) and next prime (5213057).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 48667 + ... + 48773.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

Almost surely, 25213040 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 5213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

5213040 is an abundant number, since it is smaller than the sum of its proper divisors (14071440).

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

5213040 is a wasteful number, since it uses less digits than its factorization.

5213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5213040 is about 2283.2082690810. The cubic root of 5213040 is about 173.3925175934.

Adding to 5213040 its reverse (403125), we get a palindrome (5616165).

The spelling of 5213040 in words is "five million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 107 112 116 120 140 145 168 174 203 210 214 232 240 280 290 321 336 348 406 420 428 435 464 535 560 580 609 642 696 749 812 840 856 870 1015 1070 1160 1218 1284 1392 1498 1605 1624 1680 1712 1740 2030 2140 2247 2320 2436 2568 2996 3045 3103 3210 3248 3480 3745 4060 4280 4494 4872 5136 5992 6090 6206 6420 6960 7490 8120 8560 8988 9309 9744 11235 11984 12180 12412 12840 14980 15515 16240 17976 18618 21721 22470 24360 24824 25680 29960 31030 35952 37236 43442 44940 46545 48720 49648 59920 62060 65163 74472 86884 89880 93090 108605 124120 130326 148944 173768 179760 186180 217210 248240 260652 325815 347536 372360 434420 521304 651630 744720 868840 1042608 1303260 1737680 2606520 5213040