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260028496 = 24721331823
BaseRepresentation
bin11110111111110…
…11100001010000
3200010021211001001
433133323201100
51013031402441
641445151344
76305130400
oct1737734120
9603254031
10260028496
11123863292
12730bb554
1341b44220
142676a800
1517c65731
hexf7fb850

260028496 has 120 divisors (see below), whose sum is σ = 652291584. Its totient is φ = 99429120.

The previous prime is 260028491. The next prime is 260028499. The reversal of 260028496 is 694820062.

It is a super-2 number, since 2×2600284962 = 135229637464044032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260028491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315541 + ... + 316363.

Almost surely, 2260028496 is an apocalyptic number.

260028496 is a gapful number since it is divisible by the number (26) 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 260028496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326145792).

260028496 is an abundant number, since it is smaller than the sum of its proper divisors (392263088).

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

260028496 is a wasteful number, since it uses less digits than its factorization.

260028496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 260028496 is about 16125.3990958364. The cubic root of 260028496 is about 638.2737464499.

The spelling of 260028496 in words is "two hundred sixty million, twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 49 52 56 62 91 98 104 112 124 182 196 208 217 248 364 392 403 434 496 637 728 784 806 823 868 1274 1456 1519 1612 1646 1736 2548 2821 3038 3224 3292 3472 5096 5642 5761 6076 6448 6584 10192 10699 11284 11522 12152 13168 19747 21398 22568 23044 24304 25513 39494 40327 42796 45136 46088 51026 74893 78988 80654 85592 92176 102052 149786 157976 161308 171184 178591 204104 299572 315952 322616 331669 357182 408208 524251 599144 645232 663338 714364 1048502 1198288 1250137 1326676 1428728 2097004 2321683 2500274 2653352 2857456 4194008 4643366 5000548 5306704 8388016 9286732 10001096 16251781 18573464 20002192 32503562 37146928 65007124 130014248 260028496