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5465880 = 233457241
BaseRepresentation
bin10100110110011100011000
3101021200210000
4110312130120
52344402010
6313053000
764313340
oct24663430
911250700
105465880
1130a3662
1219b7160
131194b64
14a23d20
1572e7c0
hex536718

5465880 has 160 divisors (see below), whose sum is σ = 21083040. Its totient is φ = 1244160.

The previous prime is 5465861. The next prime is 5465903. The reversal of 5465880 is 885645.

It is a happy number.

It is a super-3 number, since 3×54658803 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 22560 + ... + 22800.

It is an arithmetic number, because the mean of its divisors is an integer number (131769).

Almost surely, 25465880 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 5465880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541520).

5465880 is an abundant number, since it is smaller than the sum of its proper divisors (15617160).

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

5465880 is a wasteful number, since it uses less digits than its factorization.

5465880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5465880 is about 2337.9221543927. The cubic root of 5465880 is about 176.1516427221.

The spelling of 5465880 in words is "five million, four hundred sixty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 241 252 270 280 315 324 360 378 405 420 482 504 540 567 630 648 723 756 810 840 945 964 1080 1134 1205 1260 1446 1512 1620 1687 1890 1928 2169 2268 2410 2520 2835 2892 3240 3374 3615 3780 4338 4536 4820 5061 5670 5784 6507 6748 7230 7560 8435 8676 9640 10122 10845 11340 13014 13496 14460 15183 16870 17352 19521 20244 21690 22680 25305 26028 28920 30366 32535 33740 39042 40488 43380 45549 50610 52056 60732 65070 67480 75915 78084 86760 91098 97605 101220 121464 130140 136647 151830 156168 182196 195210 202440 227745 260280 273294 303660 364392 390420 455490 546588 607320 683235 780840 910980 1093176 1366470 1821960 2732940 5465880