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260797420 = 2251321931131
BaseRepresentation
bin11111000101101…
…11001111101100
3200011201212210201
433202313033230
51013231004140
641513443244
76314512222
oct1742671754
9604655721
10260797420
11124238a64
1273410524
1342053200
14268cab12
1517d6849a
hexf8b73ec

260797420 has 144 divisors (see below), whose sum is σ = 649313280. Its totient is φ = 87609600.

The previous prime is 260797417. The next prime is 260797441. The reversal of 260797420 is 24797062.

It is a happy number.

260797420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 260797420.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1990755 + ... + 1990885.

It is an arithmetic number, because the mean of its divisors is an integer number (4509120).

Almost surely, 2260797420 is an apocalyptic number.

260797420 is a gapful number since it is divisible by the number (20) 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 260797420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324656640).

260797420 is an abundant number, since it is smaller than the sum of its proper divisors (388515860).

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

260797420 is a wasteful number, since it uses less digits than its factorization.

260797420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 260797420 is about 16149.2235107450. The cubic root of 260797420 is about 638.9022686325.

The spelling of 260797420 in words is "two hundred sixty million, seven hundred ninety-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 31 38 52 62 65 76 95 124 130 131 155 169 190 247 260 262 310 338 380 403 494 524 589 620 655 676 806 845 988 1178 1235 1310 1612 1690 1703 2015 2356 2470 2489 2620 2945 3211 3380 3406 4030 4061 4940 4978 5239 5890 6422 6812 7657 8060 8122 8515 9956 10478 11780 12445 12844 15314 16055 16244 17030 20305 20956 22139 24890 26195 30628 32110 32357 34060 38285 40610 44278 49780 52390 52793 64220 64714 76570 77159 81220 88556 99541 104780 105586 110695 129428 153140 154318 161785 199082 211172 221390 263965 308636 323570 385795 398164 420641 442780 497705 527930 647140 686309 771590 841282 995410 1003067 1055860 1372618 1543180 1682564 1990820 2006134 2103205 2745236 3431545 4012268 4206410 5015335 6863090 8412820 10030670 13039871 13726180 20061340 26079742 52159484 65199355 130398710 260797420