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2455314240 = 26354915209
BaseRepresentation
bin1001001001011001…
…0001111101000000
320100010002212221110
42102112101331000
520012030023430
61043345523320
7114562553361
oct22226217500
96303085843
102455314240
11104aa62a25
12586343540
133018b4b82
1419413bb68
15e58507b0
hex92591f40

2455314240 has 112 divisors (see below), whose sum is σ = 7812999360. Its totient is φ = 653291520.

The previous prime is 2455314229. The next prime is 2455314247. The reversal of 2455314240 is 424135542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2455314198 and 2455314207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455314247) 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 15 ways as a sum of consecutive naturals, for example, 468756 + ... + 473964.

Almost surely, 22455314240 is an apocalyptic number.

2455314240 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 2455314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906499680).

2455314240 is an abundant number, since it is smaller than the sum of its proper divisors (5357685120).

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

2455314240 is a wasteful number, since it uses less digits than its factorization.

2455314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2455314240 is about 49551.1275351026. The cubic root of 2455314240 is about 1349.0737569627.

Adding to 2455314240 its reverse (424135542), we get a palindrome (2879449782).

The spelling of 2455314240 in words is "two billion, four hundred fifty-five million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 491 960 982 1473 1964 2455 2946 3928 4910 5209 5892 7365 7856 9820 10418 11784 14730 15627 15712 19640 20836 23568 26045 29460 31254 31424 39280 41672 47136 52090 58920 62508 78135 78560 83344 94272 104180 117840 125016 156270 157120 166688 208360 235680 250032 312540 333376 416720 471360 500064 625080 833440 1000128 1250160 1666880 2500320 2557619 5000640 5115238 7672857 10230476 12788095 15345714 20460952 25576190 30691428 38364285 40921904 51152380 61382856 76728570 81843808 102304760 122765712 153457140 163687616 204609520 245531424 306914280 409219040 491062848 613828560 818438080 1227657120 2455314240