Search a number
-
+
2535354540 = 2233519723833
BaseRepresentation
bin1001011100011110…
…0111000010101100
320112200201100121000
42113013213002230
520143022321130
61055325240300
7116554105125
oct22707470254
96480640530
102535354540
111091161434
125a9103090
1331535a6b4
141a0a1504c
15ec8b1260
hex971e70ac

2535354540 has 96 divisors (see below), whose sum is σ = 7928141760. Its totient is φ = 672634368.

The previous prime is 2535354533. The next prime is 2535354553. The reversal of 2535354540 is 454535352.

2535354540 is a `hidden beast` number, since 25 + 3 + 53 + 545 + 40 = 666.

2535354540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25353545402 = 12856045286997223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2535354495 and 2535354504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94464 + ... + 118296.

It is an arithmetic number, because the mean of its divisors is an integer number (82584810).

Almost surely, 22535354540 is an apocalyptic number.

2535354540 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 2535354540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964070880).

2535354540 is an abundant number, since it is smaller than the sum of its proper divisors (5392787220).

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

2535354540 is a wasteful number, since it uses less digits than its factorization.

2535354540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24048 (or 24040 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The square root of 2535354540 is about 50352.3042173841. The cubic root of 2535354540 is about 1363.5766832790.

Adding to 2535354540 its reverse (454535352), we get a palindrome (2989889892).

The spelling of 2535354540 in words is "two billion, five hundred thirty-five million, three hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1970 2364 2955 3546 3940 5319 5910 7092 8865 10638 11820 17730 21276 23833 26595 35460 47666 53190 71499 95332 106380 119165 142998 214497 238330 285996 357495 428994 476660 643491 714990 857988 1072485 1286982 1429980 2144970 2573964 3217455 4289940 4695101 6434910 9390202 12869820 14085303 18780404 23475505 28170606 42255909 46951010 56341212 70426515 84511818 93902020 126767727 140853030 169023636 211279545 253535454 281706060 422559090 507070908 633838635 845118180 1267677270 2535354540