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260228484 = 223319294373
BaseRepresentation
bin11111000001011…
…00010110000100
3200010122222101000
433200230112010
51013104302414
641453333300
76306622425
oct1740542604
9603588330
10260228484
1112398a56a
1273197230
1341bb4269
14267bd64c
1517ca4b09
hexf82c584

260228484 has 96 divisors (see below), whose sum is σ = 734832000. Its totient is φ = 79325568.

The previous prime is 260228483. The next prime is 260228497. The reversal of 260228484 is 484822062.

It is a happy number.

260228484 is a `hidden beast` number, since 2 + 602 + 2 + 8 + 48 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260228483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57322 + ... + 61694.

It is an arithmetic number, because the mean of its divisors is an integer number (7654500).

Almost surely, 2260228484 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 260228484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367416000).

260228484 is an abundant number, since it is smaller than the sum of its proper divisors (474603516).

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

260228484 is a wasteful number, since it uses less digits than its factorization.

260228484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 260228484 is about 16131.5989288105. The cubic root of 260228484 is about 638.4373366992.

The spelling of 260228484 in words is "two hundred sixty million, two hundred twenty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 76 87 108 114 116 171 174 228 261 342 348 513 522 551 684 783 1026 1044 1102 1566 1653 2052 2204 3132 3306 4373 4959 6612 8746 9918 13119 14877 17492 19836 26238 29754 39357 52476 59508 78714 83087 118071 126817 157428 166174 236142 249261 253634 332348 380451 472284 498522 507268 747783 760902 997044 1141353 1495566 1521804 2243349 2282706 2409523 2991132 3424059 4486698 4565412 4819046 6848118 7228569 8973396 9638092 13696236 14457138 21685707 28914276 43371414 65057121 86742828 130114242 260228484