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2535342420 = 2235134179279
BaseRepresentation
bin1001011100011110…
…0100000101010100
320112200200201222010
42113013210011110
520143021424140
61055325104220
7116554024602
oct22707440524
96480621863
102535342420
111091153316
125a90b8070
13315355020
141a0a10872
15ec8ac880
hex971e4154

2535342420 has 96 divisors (see below), whose sum is σ = 7831595520. Its totient is φ = 608855040.

The previous prime is 2535342401. The next prime is 2535342421. The reversal of 2535342420 is 242435352.

It is a super-2 number, since 2×25353424202 = 12855922373302912800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535342421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7660 + ... + 71619.

It is an arithmetic number, because the mean of its divisors is an integer number (81579120).

Almost surely, 22535342420 is an apocalyptic number.

2535342420 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 2535342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915797760).

2535342420 is an abundant number, since it is smaller than the sum of its proper divisors (5296253100).

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

2535342420 is a wasteful number, since it uses less digits than its factorization.

2535342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79345 (or 79343 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2535342420 is about 50352.1838652506. The cubic root of 2535342420 is about 1363.5745104631.

Adding to 2535342420 its reverse (242435352), we get a palindrome (2777777772).

The spelling of 2535342420 in words is "two billion, five hundred thirty-five million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6396 7995 10660 15990 31980 79279 158558 237837 317116 396395 475674 792790 951348 1030627 1189185 1585580 2061254 2378370 3091881 3250439 4122508 4756740 5153135 6183762 6500878 9751317 10306270 12367524 13001756 15459405 16252195 19502634 20612540 30918810 32504390 39005268 42255707 48756585 61837620 65008780 84511414 97513170 126767121 169022828 195026340 211278535 253534242 422557070 507068484 633835605 845114140 1267671210 2535342420