Search a number
-
+
5003601040 = 245733732297
BaseRepresentation
bin1001010100011110…
…01110010010010000
3110220201011021021001
410222033032102100
540221410213130
62144300311344
7234664623064
oct45217162220
913821137231
105003601040
112138447579
12b77842554
1361981c999
1435675baa4
151e44186ca
hex12a3ce490

5003601040 has 80 divisors (see below), whose sum is σ = 11829497328. Its totient is φ = 1967874048.

The previous prime is 5003601019. The next prime is 5003601049. The reversal of 5003601040 is 401063005.

It can be written as a sum of positive squares in 8 ways, for example, as 4545424 + 4999055616 = 2132^2 + 70704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5003600999 and 5003601017.

It is not an unprimeable number, because it can be changed into a prime (5003601049) 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, 2177172 + ... + 2179468.

Almost surely, 25003601040 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 5003601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914748664).

5003601040 is an abundant number, since it is smaller than the sum of its proper divisors (6825896288).

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

5003601040 is a wasteful number, since it uses less digits than its factorization.

5003601040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 5003601040 is about 70736.1367336385. The cubic root of 5003601040 is about 1710.3863609501.

Adding to 5003601040 its reverse (401063005), we get a palindrome (5404664045).

The spelling of 5003601040 in words is "five billion, three million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 373 584 730 746 1168 1460 1492 1865 2297 2920 2984 3730 4594 5840 5968 7460 9188 11485 14920 18376 22970 27229 29840 36752 45940 54458 91880 108916 136145 167681 183760 217832 272290 335362 435664 544580 670724 838405 856781 1089160 1341448 1676810 1713562 2178320 2682896 3353620 3427124 4283905 6707240 6854248 8567810 13414480 13708496 17135620 34271240 62545013 68542480 125090026 250180052 312725065 500360104 625450130 1000720208 1250900260 2501800520 5003601040