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261364740 = 223571347869
BaseRepresentation
bin11111001010000…
…01110000000100
3200012210201000120
433211001300010
51013402132430
641533541540
76322364220
oct1745016004
9605721016
10261364740
1112459621a
12736448b0
13421c14c0
14269d7780
1517e2b610
hexf941c04

261364740 has 96 divisors (see below), whose sum is σ = 900721920. Its totient is φ = 55143936.

The previous prime is 261364739. The next prime is 261364771. The reversal of 261364740 is 47463162.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18475 + ... + 29394.

It is an arithmetic number, because the mean of its divisors is an integer number (9382520).

Almost surely, 2261364740 is an apocalyptic number.

261364740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261364740 is an abundant number, since it is smaller than the sum of its proper divisors (639357180).

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

261364740 is a wasteful number, since it uses less digits than its factorization.

261364740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47901 (or 47899 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 261364740 is about 16166.7788999541. The cubic root of 261364740 is about 639.3652071687.

It can be divided in two parts, 26136 and 4740, that added together give a triangular number (30876 = T248).

The spelling of 261364740 in words is "two hundred sixty-one million, three hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 47869 95738 143607 191476 239345 287214 335083 478690 574428 622297 670166 718035 957380 1005249 1244594 1340332 1436070 1675415 1866891 2010498 2489188 2872140 3111485 3350830 3733782 4020996 4356079 5026245 6222970 6701660 7467564 8712158 9334455 10052490 12445940 13068237 17424316 18668910 20104980 21780395 26136474 37337820 43560790 52272948 65341185 87121580 130682370 261364740