Search a number
-
+
5602166240 = 2551131102679
BaseRepresentation
bin1010011011110101…
…00100010111100000
3112110102110112100112
411031322210113200
542433123304430
62323521510452
7255553425116
oct51572442740
915412415315
105602166240
112415305460
1211041a2428
136b3835488
143b204dab6
1522bc51195
hex14dea45e0

5602166240 has 96 divisors (see below), whose sum is σ = 14904207360. Its totient is φ = 1971417600.

The previous prime is 5602166239. The next prime is 5602166243. The reversal of 5602166240 is 426612065.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5602166197 and 5602166206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5602166243) 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, 3221 + ... + 105899.

It is an arithmetic number, because the mean of its divisors is an integer number (155252160).

Almost surely, 25602166240 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 5602166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452103680).

5602166240 is an abundant number, since it is smaller than the sum of its proper divisors (9302041120).

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

5602166240 is a wasteful number, since it uses less digits than its factorization.

5602166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102736 (or 102728 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5602166240 is about 74847.6201358467. The cubic root of 5602166240 is about 1776.0369517242.

The spelling of 5602166240 in words is "five billion, six hundred two million, one hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 102679 205358 410716 513395 821432 1026790 1129469 1642864 2053580 2258938 3183049 3285728 4107160 4517876 5647345 6366098 8214320 9035752 11294690 12732196 15915245 16428640 18071504 22589380 25464392 31830490 35013539 36143008 45178760 50928784 63660980 70027078 90357520 101857568 127321960 140054156 175067695 180715040 254643920 280108312 350135390 509287840 560216624 700270780 1120433248 1400541560 2801083120 5602166240