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2530604460 = 2235413672803
BaseRepresentation
bin1001011011010101…
…1111010110101100
320112100210000201010
42112311133112230
520140313320320
61055035345220
7116465532366
oct22665372654
96470700633
102530604460
11108950764a
125a75b2210
133143865b7
141a0139d36
15ec273ae0
hex96d5f5ac

2530604460 has 96 divisors (see below), whose sum is σ = 7280888832. Its totient is φ = 656340480.

The previous prime is 2530604443. The next prime is 2530604519. The reversal of 2530604460 is 644060352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901419 + ... + 904221.

It is an arithmetic number, because the mean of its divisors is an integer number (75842592).

Almost surely, 22530604460 is an apocalyptic number.

2530604460 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 2530604460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640444416).

2530604460 is an abundant number, since it is smaller than the sum of its proper divisors (4750284372).

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

2530604460 is a wasteful number, since it uses less digits than its factorization.

2530604460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2530604460 is about 50305.1136565658. The cubic root of 2530604460 is about 1362.7245805491.

The spelling of 2530604460 in words is "two billion, five hundred thirty million, six hundred four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 367 410 492 615 734 820 1101 1230 1468 1835 2202 2460 2803 3670 4404 5505 5606 7340 8409 11010 11212 14015 15047 16818 22020 28030 30094 33636 42045 45141 56060 60188 75235 84090 90282 114923 150470 168180 180564 225705 229846 300940 344769 451410 459692 574615 689538 902820 1028701 1149230 1379076 1723845 2057402 2298460 3086103 3447690 4114804 5143505 6172206 6895380 10287010 12344412 15430515 20574020 30861030 42176741 61722060 84353482 126530223 168706964 210883705 253060446 421767410 506120892 632651115 843534820 1265302230 2530604460