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260013240 = 2334580251
BaseRepresentation
bin11110111111101…
…11110010111000
3200010021001010000
433133313302320
51013030410430
641444553000
76305035044
oct1737676270
9603231100
10260013240
11123852883
12730b2760
1341b3a2b6
1426765024
1517c60e60
hexf7f7cb8

260013240 has 80 divisors (see below), whose sum is σ = 873944280. Its totient is φ = 69336000.

The previous prime is 260013223. The next prime is 260013251. The reversal of 260013240 is 42310062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36886 + ... + 43365.

Almost surely, 2260013240 is an apocalyptic number.

260013240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260013240 is an abundant number, since it is smaller than the sum of its proper divisors (613931040).

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

260013240 is a wasteful number, since it uses less digits than its factorization.

260013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80274 (or 80261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 260013240 is about 16124.9260463420. The cubic root of 260013240 is about 638.2612635940.

It can be divided in two parts, 26001 and 3240, that added together give a square (29241 = 1712).

The spelling of 260013240 in words is "two hundred sixty million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 80251 160502 240753 321004 401255 481506 642008 722259 802510 963012 1203765 1444518 1605020 1926024 2166777 2407530 2889036 3210040 3611295 4333554 4815060 5778072 6500331 7222590 8667108 9630120 10833885 13000662 14445180 17334216 21667770 26001324 28890360 32501655 43335540 52002648 65003310 86671080 130006620 260013240