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2152454040 = 2333511181183
BaseRepresentation
bin1000000001001011…
…1101011110011000
312120000012222212000
42000102331132120
513402012012130
6553330321000
7104224362132
oct20022753630
95500188760
102152454040
11a05005640
12500a29160
13283c25259
14165c22052
15c8e79260
hex804bd798

2152454040 has 128 divisors (see below), whose sum is σ = 7827148800. Its totient is φ = 521804160.

The previous prime is 2152453981. The next prime is 2152454069. The reversal of 2152454040 is 404542512.

2152454040 is a `hidden beast` number, since 2 + 15 + 245 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2152453995 and 2152454013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78712 + ... + 102471.

It is an arithmetic number, because the mean of its divisors is an integer number (61149600).

Almost surely, 22152454040 is an apocalyptic number.

2152454040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152454040 is an abundant number, since it is smaller than the sum of its proper divisors (5674694760).

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

2152454040 is a wasteful number, since it uses less digits than its factorization.

2152454040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181214 (or 181204 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2152454040 is about 46394.5475244667. The cubic root of 2152454040 is about 1291.1537541652.

Adding to 2152454040 its reverse (404542512), we get a palindrome (2556996552).

The spelling of 2152454040 in words is "two billion, one hundred fifty-two million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 181183 362366 543549 724732 905915 1087098 1449464 1630647 1811830 1993013 2174196 2717745 3261294 3623660 3986026 4348392 4891941 5435490 5979039 6522588 7247320 7972052 8153235 9783882 9965065 10870980 11958078 13045176 15944104 16306470 17937117 19567764 19930130 21741960 23916156 24459705 29895195 32612940 35874234 39135528 39860260 47832312 48919410 53811351 59790390 65225880 71748468 79720520 89685585 97838820 107622702 119580780 143496936 179371170 195677640 215245404 239161560 269056755 358742340 430490808 538113510 717484680 1076227020 2152454040