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3115450240 = 27575313121
BaseRepresentation
bin1011100110110001…
…1111111110000000
322001010021021021221
42321230133332000
522340023401430
61233050524424
7140126614210
oct27154377600
98033237257
103115450240
111359654971
1272b436714
133a85a75a6
14217a9a240
1513379b57a
hexb9b1ff80

3115450240 has 128 divisors (see below), whose sum is σ = 8673117120. Its totient is φ = 1047920640.

The previous prime is 3115450213. The next prime is 3115450279. The reversal of 3115450240 is 420545113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 230880 + ... + 244000.

Almost surely, 23115450240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3115450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336558560).

3115450240 is an abundant number, since it is smaller than the sum of its proper divisors (5557666880).

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

3115450240 is a wasteful number, since it uses less digits than its factorization.

3115450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200 (or 13188 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 3115450240 is about 55816.2184315634. The cubic root of 3115450240 is about 1460.5180872281.

Adding to 3115450240 its reverse (420545113), we get a palindrome (3535995353).

The spelling of 3115450240 in words is "three billion, one hundred fifteen million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 212 224 265 280 320 371 424 448 530 560 640 742 848 896 1060 1120 1484 1696 1855 2120 2240 2968 3392 3710 4240 4480 5936 6784 7420 8480 11872 13121 14840 16960 23744 26242 29680 33920 47488 52484 59360 65605 91847 104968 118720 131210 183694 209936 237440 262420 367388 419872 459235 524840 695413 734776 839744 918470 1049680 1390826 1469552 1679488 1836940 2099360 2781652 2939104 3477065 3673880 4198720 4867891 5563304 5878208 6954130 7347760 8397440 9735782 11126608 11756416 13908260 14695520 19471564 22253216 24339455 27816520 29391040 38943128 44506432 48678910 55633040 58782080 77886256 89012864 97357820 111266080 155772512 194715640 222532160 311545024 389431280 445064320 623090048 778862560 1557725120 3115450240