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4765140 = 22325231151
BaseRepresentation
bin10010001011010111010100
322222002112200
4102023113110
52204441030
6250044500
755334352
oct22132724
98862480
104765140
112765136
121719730
13caac13
148c07d2
15641d60
hex48b5d4

4765140 has 72 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 1214400.

The previous prime is 4765133. The next prime is 4765141. The reversal of 4765140 is 415674.

4765140 is a `hidden beast` number, since 4 + 7 + 651 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4765141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3565 + ... + 4715.

It is an arithmetic number, because the mean of its divisors is an integer number (209664).

Almost surely, 24765140 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 4765140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904).

4765140 is an abundant number, since it is smaller than the sum of its proper divisors (10330668).

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

4765140 is a wasteful number, since it uses less digits than its factorization.

4765140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4765140 is about 2182.9200626684. The cubic root of 4765140 is about 168.2771784939.

The spelling of 4765140 in words is "four million, seven hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1151 1380 2070 2302 3453 4140 4604 5755 6906 10359 11510 13812 17265 20718 23020 26473 34530 41436 51795 52946 69060 79419 103590 105892 132365 158838 207180 238257 264730 317676 397095 476514 529460 794190 953028 1191285 1588380 2382570 4765140