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2532434320 = 2451323105871
BaseRepresentation
bin1001011011110001…
…1110000110010000
320112111012222210201
42112330132012100
520141300344240
61055142504544
7116520223303
oct22674360620
96474188721
102532434320
11108a547429
125a8135154
13314877460
141a0494b3a
15ec4d5d9a
hex96f1e190

2532434320 has 80 divisors (see below), whose sum is σ = 6616576512. Its totient is φ = 894389760.

The previous prime is 2532434243. The next prime is 2532434321. The reversal of 2532434320 is 234342352.

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

It is a super-2 number, since 2×25324343202 = 12826447170227724800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2532434321) 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, 29016 + ... + 76855.

Almost surely, 22532434320 is an apocalyptic number.

2532434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2532434320 is an abundant number, since it is smaller than the sum of its proper divisors (4084142192).

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

2532434320 is a wasteful number, since it uses less digits than its factorization.

2532434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105920 (or 105914 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 2532434320 is about 50323.2979841345. The cubic root of 2532434320 is about 1363.0529598551.

Adding to 2532434320 its reverse (234342352), we get a palindrome (2766776672).

The spelling of 2532434320 in words is "two billion, five hundred thirty-two million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 105871 211742 423484 529355 846968 1058710 1376323 1693936 2117420 2435033 2752646 4234840 4870066 5505292 6881615 8469680 9740132 11010584 12175165 13763230 19480264 22021168 24350330 27526460 31655429 38960528 48700660 55052920 63310858 97401320 110105840 126621716 158277145 194802640 253243432 316554290 506486864 633108580 1266217160 2532434320