Search a number
-
+
5653355840 = 265112369829
BaseRepresentation
bin1010100001111011…
…10101110101000000
3112120222210020021122
411100331311311000
543034224341330
62332551011412
7260044505666
oct52075656500
915528706248
105653355840
112441198a10
121119369b68
136c1319192
143b8b76c36
152314b35e5
hex150f75d40

5653355840 has 112 divisors (see below), whose sum is σ = 15324612480. Its totient is φ = 1966356480.

The previous prime is 5653355821. The next prime is 5653355861. The reversal of 5653355840 is 485533565.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 5653355791 and 5653355800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46046 + ... + 115874.

Almost surely, 25653355840 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 5653355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662306240).

5653355840 is an abundant number, since it is smaller than the sum of its proper divisors (9671256640).

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

5653355840 is a wasteful number, since it uses less digits than its factorization.

5653355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69880 (or 69870 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 44.

The square root of 5653355840 is about 75188.8012938097. The cubic root of 5653355840 is about 1781.4300505552.

It can be divided in two parts, 565335 and 5840, that added together give a palindrome (571175).

The spelling of 5653355840 in words is "five billion, six hundred fifty-three million, three hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 704 736 880 920 1012 1265 1472 1760 1840 2024 2530 3520 3680 4048 5060 7360 8096 10120 16192 20240 40480 69829 80960 139658 279316 349145 558632 698290 768119 1117264 1396580 1536238 1606067 2234528 2793160 3072476 3212134 3840595 4469056 5586320 6144952 6424268 7681190 8030335 11172640 12289904 12848536 15362380 16060670 17666737 22345280 24579808 25697072 30724760 32121340 35333474 49159616 51394144 61449520 64242680 70666948 88333685 102788288 122899040 128485360 141333896 176667370 245798080 256970720 282667792 353334740 513941440 565335584 706669480 1130671168 1413338960 2826677920 5653355840