[go: up one dir, main page]

Search a number
-
+
260216440 = 235114712583
BaseRepresentation
bin11111000001010…
…01011001111000
3200010122100211221
433200221121320
51013103411230
641453201424
76306542341
oct1740513170
9603570757
10260216440
11123981510
1273190274
1341bab933
14267b90c8
1517ca127a
hexf829678

260216440 has 64 divisors (see below), whose sum is σ = 652354560. Its totient is φ = 92603520.

The previous prime is 260216413. The next prime is 260216443. The reversal of 260216440 is 44612062.

260216440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260216443) 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, 14389 + ... + 26971.

It is an arithmetic number, because the mean of its divisors is an integer number (10193040).

Almost surely, 2260216440 is an apocalyptic number.

260216440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260216440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326177280).

260216440 is an abundant number, since it is smaller than the sum of its proper divisors (392138120).

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

260216440 is a wasteful number, since it uses less digits than its factorization.

260216440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12652 (or 12648 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 260216440 is about 16131.2256198963. The cubic root of 260216440 is about 638.4274870756.

The spelling of 260216440 in words is "two hundred sixty million, two hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 10340 12583 20680 25166 50332 62915 100664 125830 138413 251660 276826 503320 553652 591401 692065 1107304 1182802 1384130 2365604 2768260 2957005 4731208 5536520 5914010 6505411 11828020 13010822 23656040 26021644 32527055 52043288 65054110 130108220 260216440