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2291040 = 253253743
BaseRepresentation
bin1000101111010101100000
311022101201100
420233111200
51041303130
6121034400
725321263
oct10572540
94271640
102291040
111325324
12925a00
13622a5b
14438cda
15303c60
hex22f560

2291040 has 144 divisors (see below), whose sum is σ = 8216208. Its totient is φ = 580608.

The previous prime is 2291033. The next prime is 2291041. The reversal of 2291040 is 401922.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53259 + ... + 53301.

It is an arithmetic number, because the mean of its divisors is an integer number (57057).

22291040 is an apocalyptic number.

2291040 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 2291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108104).

2291040 is an abundant number, since it is smaller than the sum of its proper divisors (5925168).

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

2291040 is a wasteful number, since it uses less digits than its factorization.

2291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2291040 is about 1513.6181817090. The cubic root of 2291040 is about 131.8289796221.

Adding to 2291040 its reverse (401922), we get a palindrome (2692962).

The spelling of 2291040 in words is "two million, two hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 43 45 48 60 72 74 80 86 90 96 111 120 129 144 148 160 172 180 185 215 222 240 258 288 296 333 344 360 370 387 430 444 480 516 555 592 645 666 688 720 740 774 860 888 1032 1110 1184 1290 1332 1376 1440 1480 1548 1591 1665 1720 1776 1935 2064 2220 2580 2664 2960 3096 3182 3330 3440 3552 3870 4128 4440 4773 5160 5328 5920 6192 6364 6660 6880 7740 7955 8880 9546 10320 10656 12384 12728 13320 14319 15480 15910 17760 19092 20640 23865 25456 26640 28638 30960 31820 38184 47730 50912 53280 57276 61920 63640 71595 76368 95460 114552 127280 143190 152736 190920 229104 254560 286380 381840 458208 572760 763680 1145520 2291040