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4940430 = 2351121361
BaseRepresentation
bin10010110110001010001110
3100021222222220
4102312022032
52231043210
6253520210
756664405
oct22661216
910258886
104940430
112874900
1217a3066
13103c941
1492863c
15678c70
hex4b628e

4940430 has 48 divisors (see below), whose sum is σ = 13042512. Its totient is φ = 1196800.

The previous prime is 4940417. The next prime is 4940431. The reversal of 4940430 is 340494.

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4940430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4940431) 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, 2950 + ... + 4310.

It is an arithmetic number, because the mean of its divisors is an integer number (271719).

Almost surely, 24940430 is an apocalyptic number.

4940430 is the 1815-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4940430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521256).

4940430 is an abundant number, since it is smaller than the sum of its proper divisors (8102082).

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

4940430 is a wasteful number, since it uses less digits than its factorization.

4940430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4940430 is about 2222.7078080576. The cubic root of 4940430 is about 170.3157913400.

The spelling of 4940430 in words is "four million, nine hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1361 1815 2722 3630 4083 6805 8166 13610 14971 20415 29942 40830 44913 74855 89826 149710 164681 224565 329362 449130 494043 823405 988086 1646810 2470215 4940430