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5319072 = 2532112373
BaseRepresentation
bin10100010010100110100000
3101000020101200
4110102212200
52330202242
6310001200
763132333
oct24224640
911006350
105319072
113003330
121946200
1311430a5
149c661a
1570104c
hex5129a0

5319072 has 144 divisors (see below), whose sum is σ = 17454528. Its totient is φ = 1520640.

The previous prime is 5319059. The next prime is 5319089. The reversal of 5319072 is 2709135.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72828 + ... + 72900.

It is an arithmetic number, because the mean of its divisors is an integer number (121212).

Almost surely, 25319072 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 5319072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727264).

5319072 is an abundant number, since it is smaller than the sum of its proper divisors (12135456).

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

5319072 is a wasteful number, since it uses less digits than its factorization.

5319072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5319072 is about 2306.3113406477. The cubic root of 5319072 is about 174.5602236556.

The spelling of 5319072 in words is "five million, three hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 73 88 92 96 99 132 138 144 146 176 184 198 207 219 253 264 276 288 292 352 368 396 414 438 506 528 552 584 657 736 759 792 803 828 876 1012 1056 1104 1168 1314 1518 1584 1606 1656 1679 1752 2024 2208 2277 2336 2409 2628 3036 3168 3212 3312 3358 3504 4048 4554 4818 5037 5256 6072 6424 6624 6716 7008 7227 8096 9108 9636 10074 10512 12144 12848 13432 14454 15111 18216 18469 19272 20148 21024 24288 25696 26864 28908 30222 36432 36938 38544 40296 53728 55407 57816 60444 72864 73876 77088 80592 110814 115632 120888 147752 161184 166221 221628 231264 241776 295504 332442 443256 483552 591008 664884 886512 1329768 1773024 2659536 5319072