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2088240 = 2435711113
BaseRepresentation
bin111111101110100110000
310221002112020
413331310300
51013310430
6112431440
723515110
oct7756460
93832466
102088240
1111a6a20
12848580
1358165b
143c5040
152b3b10
hex1fdd30

2088240 has 160 divisors (see below), whose sum is σ = 8142336. Its totient is φ = 430080.

The previous prime is 2088227. The next prime is 2088241. The reversal of 2088240 is 428802.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 2088240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18424 + ... + 18536.

22088240 is an apocalyptic number.

2088240 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 2088240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168).

2088240 is an abundant number, since it is smaller than the sum of its proper divisors (6054096).

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

2088240 is a wasteful number, since it uses less digits than its factorization.

2088240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2088240 is about 1445.0743925487. The cubic root of 2088240 is about 127.8184274505.

It can be divided in two parts, 208 and 8240, that added together give a palindrome (8448).

The spelling of 2088240 in words is "two million, eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 113 120 132 140 154 165 168 176 210 220 226 231 240 264 280 308 330 336 339 385 420 440 452 462 528 560 565 616 660 678 770 791 840 880 904 924 1130 1155 1232 1243 1320 1356 1540 1582 1680 1695 1808 1848 2260 2310 2373 2486 2640 2712 3080 3164 3390 3696 3729 3955 4520 4620 4746 4972 5424 6160 6215 6328 6780 7458 7910 8701 9040 9240 9492 9944 11865 12430 12656 13560 14916 15820 17402 18480 18645 18984 19888 23730 24860 26103 27120 29832 31640 34804 37290 37968 43505 47460 49720 52206 59664 63280 69608 74580 87010 94920 99440 104412 130515 139216 149160 174020 189840 208824 261030 298320 348040 417648 522060 696080 1044120 2088240