Search a number
-
+
1098240 = 29351113
BaseRepresentation
bin100001100001000000000
32001210111120
410030020000
5240120430
635312240
712222603
oct4141000
92053446
101098240
11690140
1244b680
132c5b60
1420833a
1516a610
hex10c200

1098240 has 160 divisors (see below), whose sum is σ = 4124736. Its totient is φ = 245760.

The previous prime is 1098233. The next prime is 1098269. The reversal of 1098240 is 428901.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10982402 = 2412262195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1098240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84474 + ... + 84486.

21098240 is an apocalyptic number.

1098240 is a gapful number since it is divisible by the number (10) 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 1098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368).

1098240 is an abundant number, since it is smaller than the sum of its proper divisors (3026496).

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

1098240 is a wasteful number, since it uses less digits than its factorization.

1098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1098240 is about 1047.9694652040. The cubic root of 1098240 is about 103.1729272174.

The spelling of 1098240 in words is "one million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 104 110 120 128 130 132 143 156 160 165 176 192 195 208 220 240 256 260 264 286 312 320 330 352 384 390 416 429 440 480 512 520 528 572 624 640 660 704 715 768 780 832 858 880 960 1040 1056 1144 1248 1280 1320 1408 1430 1536 1560 1664 1716 1760 1920 2080 2112 2145 2288 2496 2560 2640 2816 2860 3120 3328 3432 3520 3840 4160 4224 4290 4576 4992 5280 5632 5720 6240 6656 6864 7040 7680 8320 8448 8580 9152 9984 10560 11440 12480 13728 14080 16640 16896 17160 18304 19968 21120 22880 24960 27456 28160 33280 34320 36608 42240 45760 49920 54912 68640 73216 84480 91520 99840 109824 137280 183040 219648 274560 366080 549120 1098240