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5140640 = 25519289
BaseRepresentation
bin10011100111000010100000
3100200011122002
4103213002200
52304000030
6302103132
761460201
oct23470240
910604562
105140640
1129a126a
12187aaa8
1310acacb
1497b5a8
156b8245
hex4e70a0

5140640 has 72 divisors (see below), whose sum is σ = 12961620. Its totient is φ = 1926144.

The previous prime is 5140633. The next prime is 5140643. The reversal of 5140640 is 460415.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4857616 + 283024 = 2204^2 + 532^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57716 + ... + 57804.

Almost surely, 25140640 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 5140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480810).

5140640 is an abundant number, since it is smaller than the sum of its proper divisors (7820980).

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

5140640 is a wasteful number, since it uses less digits than its factorization.

5140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5140640 is about 2267.2979513068. The cubic root of 5140640 is about 172.5860664120.

The spelling of 5140640 in words is "five million, one hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 89 95 152 160 178 190 304 356 361 380 445 608 712 722 760 890 1424 1444 1520 1691 1780 1805 2848 2888 3040 3382 3560 3610 5776 6764 7120 7220 8455 11552 13528 14240 14440 16910 27056 28880 32129 33820 54112 57760 64258 67640 128516 135280 160645 257032 270560 321290 514064 642580 1028128 1285160 2570320 5140640