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9000240704 = 267131545371
BaseRepresentation
bin10000110000111010…
…01100011001000000
3212020020112121012022
420120131030121000
5121413030200304
64045030221012
7436014532550
oct103035143100
925206477168
109000240704
1138a9446064
1218b21b4768
13b05835a20
14615479160
1537a227ebe
hex21874c640

9000240704 has 56 divisors (see below), whose sum is σ = 21981371328. Its totient is φ = 3560532480.

The previous prime is 9000240647. The next prime is 9000240707. The reversal of 9000240704 is 4070420009.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (9000240707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766862 + ... + 778509.

It is an arithmetic number, because the mean of its divisors is an integer number (392524488).

Almost surely, 29000240704 is an apocalyptic number.

It is an amenable number.

9000240704 is an abundant number, since it is smaller than the sum of its proper divisors (12981130624).

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

9000240704 is a wasteful number, since it uses less digits than its factorization.

9000240704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545403 (or 1545393 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 9000240704 is about 94869.5984180391. The cubic root of 9000240704 is about 2080.1023667568.

The spelling of 9000240704 in words is "nine billion, two hundred forty thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 1545371 3090742 6181484 10817597 12362968 20089823 21635194 24725936 40179646 43270388 49451872 80359292 86540776 98903744 140628761 160718584 173081552 281257522 321437168 346163104 562515044 642874336 692326208 1125030088 1285748672 2250060176 4500120352 9000240704