Search a number
-
+
259243320 = 23357244089
BaseRepresentation
bin11110111001110…
…11110100111000
3200001210220222110
433130323310320
51012331241240
641420252320
76265350300
oct1734736470
9601726873
10259243320
11123377386
12729a10a0
134192aa1b
1426604600
1517b5cc80
hexf73bd38

259243320 has 96 divisors (see below), whose sum is σ = 904726800. Its totient is φ = 59254272.

The previous prime is 259243291. The next prime is 259243331. The reversal of 259243320 is 23342952.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16165 + ... + 27924.

Almost surely, 2259243320 is an apocalyptic number.

259243320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259243320 is an abundant number, since it is smaller than the sum of its proper divisors (645483480).

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

259243320 is a wasteful number, since it uses less digits than its factorization.

259243320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44117 (or 44106 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 259243320 is about 16101.0347493569. The cubic root of 259243320 is about 637.6306598775.

The spelling of 259243320 in words is "two hundred fifty-nine million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 44089 88178 132267 176356 220445 264534 308623 352712 440890 529068 617246 661335 881780 925869 1058136 1234492 1322670 1543115 1763560 1851738 2160361 2468984 2645340 3086230 3703476 4320722 4629345 5290680 6172460 6481083 7406952 8641444 9258690 10801805 12344920 12962166 17282888 18517380 21603610 25924332 32405415 37034760 43207220 51848664 64810830 86414440 129621660 259243320