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260504972 = 227213195381
BaseRepresentation
bin11111000011011…
…11110110001100
3200011012000122022
433201233312030
51013142124342
641503305312
76312153500
oct1741576614
9604160568
10260504972
11124059272
12732ab238
1341c80070
1426852300
1517d0b9d2
hexf86fd8c

260504972 has 72 divisors (see below), whose sum is σ = 601277040. Its totient is φ = 97614720.

The previous prime is 260504971. The next prime is 260504977. The reversal of 260504972 is 279405062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260504971) 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, 45722 + ... + 51102.

It is an arithmetic number, because the mean of its divisors is an integer number (8351070).

Almost surely, 2260504972 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 260504972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300638520).

260504972 is an abundant number, since it is smaller than the sum of its proper divisors (340772068).

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

260504972 is a wasteful number, since it uses less digits than its factorization.

260504972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 260504972 is about 16140.1664179772. The cubic root of 260504972 is about 638.6633659947.

The spelling of 260504972 in words is "two hundred sixty million, five hundred four thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 364 494 532 637 931 988 1274 1729 1862 2548 3458 3724 5381 6916 10762 12103 21524 24206 37667 48412 69953 75334 102239 139906 150668 204478 263669 279812 408956 489671 527338 715673 979342 1054676 1329107 1431346 1958684 2658214 2862692 3427697 5009711 5316428 6855394 9303749 10019422 13710788 18607498 20038844 37214996 65126243 130252486 260504972