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2514275040 = 253523322481
BaseRepresentation
bin1001010111011100…
…1100101011100000
320111020001101221210
42111313030223200
520122123300130
61053253350120
7116206661634
oct22567145340
96436041853
102514275040
111080274062
125a2038340
13310b89b14
1419bcc8dc4
15eaaea5b0
hex95dccae0

2514275040 has 96 divisors (see below), whose sum is σ = 7954311456. Its totient is φ = 667566080.

The previous prime is 2514274999. The next prime is 2514275051. The reversal of 2514275040 is 405724152.

2514275040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2514274989 and 2514275007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100600 + ... + 123080.

It is an arithmetic number, because the mean of its divisors is an integer number (82857411).

Almost surely, 22514275040 is an apocalyptic number.

2514275040 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 2514275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977155728).

2514275040 is an abundant number, since it is smaller than the sum of its proper divisors (5440036416).

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

2514275040 is a wasteful number, since it uses less digits than its factorization.

2514275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22732 (or 22724 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 2514275040 is about 50142.5472029493. The cubic root of 2514275040 is about 1359.7871350812.

Adding to 2514275040 its reverse (405724152), we get a palindrome (2919999192).

The spelling of 2514275040 in words is "two billion, five hundred fourteen million, two hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 233 240 466 480 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 7456 9320 11184 13980 18640 22368 22481 27960 37280 44962 55920 67443 89924 111840 112405 134886 179848 224810 269772 337215 359696 449620 539544 674430 719392 899240 1079088 1348860 1798480 2158176 2697720 3596960 5238073 5395440 10476146 10790880 15714219 20952292 26190365 31428438 41904584 52380730 62856876 78571095 83809168 104761460 125713752 157142190 167618336 209522920 251427504 314284380 419045840 502855008 628568760 838091680 1257137520 2514275040