Search a number
-
+
2530103632 = 247210193167
BaseRepresentation
bin1001011011001110…
…0101000101010000
320112022211120200221
42112303211011100
520140201304012
61055020522424
7116461345300
oct22663450520
96468746627
102530103632
1110891a5341
125a73b0414
1331423c654
141a0049600
15ec1c5507
hex96ce5150

2530103632 has 60 divisors (see below), whose sum is σ = 5709813120. Its totient is φ = 1082923968.

The previous prime is 2530103621. The next prime is 2530103683. The reversal of 2530103632 is 2363010352.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2530103597 and 2530103606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 797313 + ... + 800479.

It is an arithmetic number, because the mean of its divisors is an integer number (95163552).

Almost surely, 22530103632 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 2530103632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854906560).

2530103632 is an abundant number, since it is smaller than the sum of its proper divisors (3179709488).

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

2530103632 is a wasteful number, since it uses less digits than its factorization.

2530103632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 2530103632 is about 50300.1355067757. The cubic root of 2530103632 is about 1362.6346763825.

Adding to 2530103632 its reverse (2363010352), we get a palindrome (4893113984).

The spelling of 2530103632 in words is "two billion, five hundred thirty million, one hundred three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1019 2038 3167 4076 6334 7133 8152 12668 14266 16304 22169 25336 28532 44338 49931 50672 57064 88676 99862 114128 155183 177352 199724 310366 354704 399448 620732 798896 1241464 2482928 3227173 6454346 12908692 22590211 25817384 45180422 51634768 90360844 158131477 180721688 316262954 361443376 632525908 1265051816 2530103632