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2533840660 = 2251323720261
BaseRepresentation
bin1001011100000111…
…0101011100010100
320112120212102221101
42113001311130110
520142130400120
61055232555444
7116535201361
oct22701653424
96476772841
102533840660
111090317a9a
125a86b2b84
13314c4a600
141a073d468
15ec6b290a
hex97075714

2533840660 has 72 divisors (see below), whose sum is σ = 5917881816. Its totient is φ = 910241280.

The previous prime is 2533840657. The next prime is 2533840679. The reversal of 2533840660 is 660483352.

It can be written as a sum of positive squares in 12 ways, for example, as 1711642384 + 822198276 = 41372^2 + 28674^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114930 + ... + 135190.

It is an arithmetic number, because the mean of its divisors is an integer number (82192803).

Almost surely, 22533840660 is an apocalyptic number.

2533840660 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 2533840660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958940908).

2533840660 is an abundant number, since it is smaller than the sum of its proper divisors (3384041156).

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

2533840660 is a wasteful number, since it uses less digits than its factorization.

2533840660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20333 (or 20318 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 2533840660 is about 50337.2690955717. The cubic root of 2533840660 is about 1363.3052284796.

The spelling of 2533840660 in words is "two billion, five hundred thirty-three million, eight hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 169 185 260 338 370 481 676 740 845 962 1690 1924 2405 3380 4810 6253 9620 12506 20261 25012 31265 40522 62530 81044 101305 125060 202610 263393 405220 526786 749657 1053572 1316965 1499314 2633930 2998628 3424109 3748285 5267860 6848218 7496570 9745541 13696436 14993140 17120545 19491082 34241090 38982164 48727705 68482180 97455410 126692033 194910820 253384066 506768132 633460165 1266920330 2533840660