Search a number
-
+
2530556540 = 2253710633217
BaseRepresentation
bin1001011011010101…
…0011101001111100
320112100200120222022
42112311103221330
520140310302130
61055034335312
7116465242601
oct22665235174
96470616868
102530556540
111089484646
125a758a538
1331436a845
141a01266a8
15ec2647e5
hex96d53a7c

2530556540 has 48 divisors (see below), whose sum is σ = 5464627392. Its totient is φ = 983632896.

The previous prime is 2530556533. The next prime is 2530556543. The reversal of 2530556540 is 456550352.

It is a self number, because there is not a number n which added to its sum of digits gives 2530556540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530556543) 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, 785012 + ... + 788228.

It is an arithmetic number, because the mean of its divisors is an integer number (113846404).

Almost surely, 22530556540 is an apocalyptic number.

2530556540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530556540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732313696).

2530556540 is an abundant number, since it is smaller than the sum of its proper divisors (2934070852).

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

2530556540 is a wasteful number, since it uses less digits than its factorization.

2530556540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The square root of 2530556540 is about 50304.6373607841. The cubic root of 2530556540 is about 1362.7159788922.

The spelling of 2530556540 in words is "two billion, five hundred thirty million, five hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1063 2126 3217 4252 5315 6434 10630 12868 16085 21260 32170 39331 64340 78662 119029 157324 196655 238058 393310 476116 595145 786620 1190290 2380580 3419671 6839342 13678684 17098355 34196710 68393420 126527827 253055654 506111308 632639135 1265278270 2530556540