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1215053664 = 253114392621
BaseRepresentation
bin100100001101100…
…0011111101100000
310010200100010021120
41020123003331200
54442023204124
6320322452240
742052533336
oct11033037540
93120303246
101215053664
11573958890
1229ab04080
13164965386
14b752bb56
1571a10d79
hex486c3f60

1215053664 has 96 divisors (see below), whose sum is σ = 3488728320. Its totient is φ = 367219200.

The previous prime is 1215053639. The next prime is 1215053669. The reversal of 1215053664 is 4663505121.

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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215053669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462274 + ... + 464894.

It is an arithmetic number, because the mean of its divisors is an integer number (36340920).

Almost surely, 21215053664 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 1215053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744364160).

1215053664 is an abundant number, since it is smaller than the sum of its proper divisors (2273674656).

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

1215053664 is a wasteful number, since it uses less digits than its factorization.

1215053664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1215053664 is about 34857.6198843237. The cubic root of 1215053664 is about 1067.0837011669.

Adding to 1215053664 its reverse (4663505121), we get a palindrome (5878558785).

The spelling of 1215053664 in words is "one billion, two hundred fifteen million, fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 439 528 878 1056 1317 1756 2621 2634 3512 4829 5242 5268 7024 7863 9658 10484 10536 14048 14487 15726 19316 20968 21072 28831 28974 31452 38632 41936 42144 57662 57948 62904 77264 83872 86493 115324 115896 125808 154528 172986 230648 231792 251616 345972 461296 463584 691944 922592 1150619 1383888 2301238 2767776 3451857 4602476 6903714 9204952 12656809 13807428 18409904 25313618 27614856 36819808 37970427 50627236 55229712 75940854 101254472 110459424 151881708 202508944 303763416 405017888 607526832 1215053664