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2400230040 = 2335131538609
BaseRepresentation
bin1000111100010000…
…1001101010011000
320012021110022121220
42033010021222120
514403424330130
61034101132040
7113323422135
oct21704115230
96167408556
102400230040
11102195a39a
1256b9ba020
132c3369580
1418aabd58c
15e0abe410
hex8f109a98

2400230040 has 64 divisors (see below), whose sum is σ = 7754594400. Its totient is φ = 590825472.

The previous prime is 2400230003. The next prime is 2400230059. The reversal of 2400230040 is 400320042.

It is a happy number.

It is a super-2 number, since 2×24002300402 = 11522208489836803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 767745 + ... + 770864.

Almost surely, 22400230040 is an apocalyptic number.

2400230040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400230040 is an abundant number, since it is smaller than the sum of its proper divisors (5354364360).

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

2400230040 is a wasteful number, since it uses less digits than its factorization.

2400230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538636 (or 1538632 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2400230040 is about 48992.1426353247. The cubic root of 2400230040 is about 1338.9086755632.

Adding to 2400230040 its reverse (400320042), we get a palindrome (2800550082).

The spelling of 2400230040 in words is "two billion, four hundred million, two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1538609 3077218 4615827 6154436 7693045 9231654 12308872 15386090 18463308 20001917 23079135 30772180 36926616 40003834 46158270 60005751 61544360 80007668 92316540 100009585 120011502 160015336 184633080 200019170 240023004 300028755 400038340 480046008 600057510 800076680 1200115020 2400230040