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260420496 = 24372263421
BaseRepresentation
bin11111000010110…
…11001110010000
3200011000201202120
433201123032100
51013131423441
641501414240
76311352300
oct1741331620
9604021676
10260420496
11124000856
127326a380
1341c5078b
142682d600
1517ce1966
hexf85b390

260420496 has 120 divisors (see below), whose sum is σ = 787431744. Its totient is φ = 73946880.

The previous prime is 260420473. The next prime is 260420519. The reversal of 260420496 is 694024062.

It is a happy number.

260420496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260420473) and next prime (260420519).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618366 + ... + 618786.

Almost surely, 2260420496 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 260420496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393715872).

260420496 is an abundant number, since it is smaller than the sum of its proper divisors (527011248).

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

260420496 is a wasteful number, since it uses less digits than its factorization.

260420496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 260420496 is about 16137.5492563152. The cubic root of 260420496 is about 638.5943237305.

The spelling of 260420496 in words is "two hundred sixty million, four hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 263 294 336 392 421 526 588 784 789 842 1052 1176 1263 1578 1684 1841 2104 2352 2526 2947 3156 3368 3682 4208 5052 5523 5894 6312 6736 7364 8841 10104 11046 11788 12624 12887 14728 17682 20208 20629 22092 23576 25774 29456 35364 38661 41258 44184 47152 51548 61887 70728 77322 82516 88368 103096 110723 123774 141456 154644 165032 206192 221446 247548 309288 330064 332169 442892 495096 618576 664338 775061 885784 990192 1328676 1550122 1771568 2325183 2657352 3100244 4650366 5314704 5425427 6200488 9300732 10850854 12400976 16276281 18601464 21701708 32552562 37202928 43403416 65105124 86806832 130210248 260420496