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5672034560 = 2855383609
BaseRepresentation
bin1010100100001010…
…00110000100000000
3112122021221012200002
411102011012010000
543104020101220
62334455215132
7260362332623
oct52205060400
915567835602
105672034560
112450796575
1211236774a8
136c515908a
143bb439dba
15232e52c75
hex152146100

5672034560 has 72 divisors (see below), whose sum is σ = 13842806040. Its totient is φ = 2225979392.

The previous prime is 5672034521. The next prime is 5672034569. The reversal of 5672034560 is 654302765.

It can be written as a sum of positive squares in 4 ways, for example, as 572932096 + 5099102464 = 23936^2 + 71408^2 .

It is not an unprimeable number, because it can be changed into a prime (5672034569) 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, 26036 + ... + 109644.

It is an arithmetic number, because the mean of its divisors is an integer number (192261195).

Almost surely, 25672034560 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 5672034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921403020).

5672034560 is an abundant number, since it is smaller than the sum of its proper divisors (8170771480).

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

5672034560 is an equidigital number, since it uses as much as digits as its factorization.

5672034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83683 (or 83669 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 5672034560 is about 75312.9109781318. The cubic root of 5672034560 is about 1783.3898454350.

The spelling of 5672034560 in words is "five billion, six hundred seventy-two million, thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 2120 3392 4240 6784 8480 13568 16960 33920 67840 83609 167218 334436 418045 668872 836090 1337744 1672180 2675488 3344360 4431277 5350976 6688720 8862554 10701952 13377440 17725108 21403904 22156385 26754880 35450216 44312770 53509760 70900432 88625540 107019520 141800864 177251080 283601728 354502160 567203456 709004320 1134406912 1418008640 2836017280 5672034560