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4760730 = 2325132313
BaseRepresentation
bin10010001010010010011010
322221212111100
4102022102122
52204320410
6250012230
755315452
oct22122232
98855440
104760730
112761897
121717076
13ca8c00
148bcd62
156408c0
hex48a49a

4760730 has 72 divisors (see below), whose sum is σ = 13446108. Its totient is φ = 1168128.

The previous prime is 4760719. The next prime is 4760759. The reversal of 4760730 is 370674.

It can be written as a sum of positive squares in 6 ways, for example, as 3969 + 4756761 = 63^2 + 2181^2 .

It is a Curzon number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4760694 and 4760703.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15054 + ... + 15366.

Almost surely, 24760730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4760730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723054).

4760730 is an abundant number, since it is smaller than the sum of its proper divisors (8685378).

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

4760730 is a wasteful number, since it uses less digits than its factorization.

4760730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 4760730 is about 2181.9097139891. The cubic root of 4760730 is about 168.2252505753.

The spelling of 4760730 in words is "four million, seven hundred sixty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 313 338 390 507 585 626 845 939 1014 1170 1521 1565 1690 1878 2535 2817 3042 3130 4069 4695 5070 5634 7605 8138 9390 12207 14085 15210 20345 24414 28170 36621 40690 52897 61035 73242 105794 122070 158691 183105 264485 317382 366210 476073 528970 793455 952146 1586910 2380365 4760730