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2465324920 = 235238930109
BaseRepresentation
bin1001001011110001…
…1101111101111000
320100210221111000101
42102330131331320
520022110344140
61044344245144
7115043626132
oct22274357570
96323844011
102465324920
111055680113
125897707b4
133039ab556
141955c6052
15e667b99a
hex92f1df78

2465324920 has 64 divisors (see below), whose sum is σ = 5853384000. Its totient is φ = 932625408.

The previous prime is 2465324899. The next prime is 2465324923. The reversal of 2465324920 is 294235642.

It is a super-2 number, since 2×24653249202 = 12155653922346012800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2465324920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465324923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66826 + ... + 96934.

It is an arithmetic number, because the mean of its divisors is an integer number (91459125).

Almost surely, 22465324920 is an apocalyptic number.

2465324920 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 2465324920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926692000).

2465324920 is an abundant number, since it is smaller than the sum of its proper divisors (3388059080).

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

2465324920 is a wasteful number, since it uses less digits than its factorization.

2465324920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30232 (or 30228 counting only the distinct ones).

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

The square root of 2465324920 is about 49652.0384274402. The cubic root of 2465324920 is about 1350.9047287054.

The spelling of 2465324920 in words is "two billion, four hundred sixty-five million, three hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 89 92 115 178 184 230 356 445 460 712 890 920 1780 2047 3560 4094 8188 10235 16376 20470 30109 40940 60218 81880 120436 150545 240872 301090 602180 692507 1204360 1385014 2679701 2770028 3462535 5359402 5540056 6925070 10718804 13398505 13850140 21437608 26797010 27700280 53594020 61633123 107188040 123266246 246532492 308165615 493064984 616331230 1232662460 2465324920