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2455132240 = 24511231011201
BaseRepresentation
bin1001001001010110…
…0101100001010000
320100002202122021201
42102111211201100
520012003212430
61043342000544
7114561164641
oct22225454120
96302678251
102455132240
11104a949210
12586276154
13301850092
141940d16c8
15e58168ca
hex92565850

2455132240 has 160 divisors (see below), whose sum is σ = 6567651072. Its totient is φ = 844800000.

The previous prime is 2455132237. The next prime is 2455132247. The reversal of 2455132240 is 422315542.

It is a junction number, because it is equal to n+sod(n) for n = 2455132199 and 2455132208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455132247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2043640 + ... + 2044840.

Almost surely, 22455132240 is an apocalyptic number.

2455132240 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 2455132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283825536).

2455132240 is an abundant number, since it is smaller than the sum of its proper divisors (4112518832).

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

2455132240 is a wasteful number, since it uses less digits than its factorization.

2455132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2455132240 is about 49549.2910141003. The cubic root of 2455132240 is about 1349.0404228058.

Adding to 2455132240 its reverse (422315542), we get a palindrome (2877447782).

The spelling of 2455132240 in words is "two billion, four hundred fifty-five million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 101 110 115 176 184 202 220 230 253 368 404 440 460 505 506 808 880 920 1010 1012 1111 1201 1265 1616 1840 2020 2024 2222 2323 2402 2530 4040 4048 4444 4646 4804 5060 5555 6005 8080 8888 9292 9608 10120 11110 11615 12010 13211 17776 18584 19216 20240 22220 23230 24020 25553 26422 27623 37168 44440 46460 48040 51106 52844 55246 66055 88880 92920 96080 102212 105688 110492 121301 127765 132110 138115 185840 204424 211376 220984 242602 255530 264220 276230 303853 408848 441968 485204 511060 528440 552460 606505 607706 970408 1022120 1056880 1104920 1213010 1215412 1334311 1519265 1940816 2044240 2209840 2426020 2430824 2668622 2789923 3038530 4852040 4861648 5337244 5579846 6077060 6671555 9704080 10674488 11159692 12154120 13343110 13949615 21348976 22319384 24308240 26686220 27899230 30689153 44638768 53372440 55798460 61378306 106744880 111596920 122756612 153445765 223193840 245513224 306891530 491026448 613783060 1227566120 2455132240