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4735460140 = 2254329318793
BaseRepresentation
bin1000110100100000…
…10110001100101100
3110020000121022002121
410122100112030230
534144234211030
62101521202324
7225230514145
oct43220261454
913200538077
104735460140
112010053324
12b01a903a4
135a60c8128
1432ccbcacc
151caaee47a
hex11a41632c

4735460140 has 48 divisors (see below), whose sum is σ = 10211005728. Its totient is φ = 1843720704.

The previous prime is 4735460111. The next prime is 4735460153. The reversal of 4735460140 is 410645374.

It is a junction number, because it is equal to n+sod(n) for n = 4735460096 and 4735460105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242584 + ... + 261376.

It is an arithmetic number, because the mean of its divisors is an integer number (212729286).

Almost surely, 24735460140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4735460140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105502864).

4735460140 is an abundant number, since it is smaller than the sum of its proper divisors (5475545588).

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

4735460140 is a wasteful number, since it uses less digits than its factorization.

4735460140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19138 (or 19136 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 4735460140 is about 68814.6796839163. The cubic root of 4735460140 is about 1679.2707695852.

The spelling of 4735460140 in words is "four billion, seven hundred thirty-five million, four hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 293 430 586 860 1172 1465 2930 5860 12599 18793 25198 37586 50396 62995 75172 93965 125990 187930 251980 375860 808099 1616198 3232396 4040495 5506349 8080990 11012698 16161980 22025396 27531745 55063490 110126980 236773007 473546014 947092028 1183865035 2367730070 4735460140