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260740144 = 24723127797
BaseRepresentation
bin11111000101010…
…01010000110000
3200011121222020101
433202221100300
51013222141034
641512322144
76314153230
oct1742512060
9604558211
10260740144
111241a9a25
12733a3354
1342033112
14268b3cc0
1517d56514
hexf8a9430

260740144 has 80 divisors (see below), whose sum is σ = 607961088. Its totient is φ = 105912576.

The previous prime is 260740133. The next prime is 260740153. The reversal of 260740144 is 441047062.

260740144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 326754 + ... + 327550.

Almost surely, 2260740144 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 260740144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303980544).

260740144 is an abundant number, since it is smaller than the sum of its proper divisors (347220944).

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

260740144 is a wasteful number, since it uses less digits than its factorization.

260740144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 260740144 is about 16147.4500773342. The cubic root of 260740144 is about 638.8554935717.

The spelling of 260740144 in words is "two hundred sixty million, seven hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 127 161 184 254 322 368 508 644 797 889 1016 1288 1594 1778 2032 2576 2921 3188 3556 5579 5842 6376 7112 11158 11684 12752 14224 18331 20447 22316 23368 36662 40894 44632 46736 73324 81788 89264 101219 128317 146648 163576 202438 256634 293296 327152 404876 513268 708533 809752 1026536 1417066 1619504 2053072 2328037 2834132 4656074 5668264 9312148 11336528 16296259 18624296 32592518 37248592 65185036 130370072 260740144