Search a number
-
+
30268640 = 2551391361
BaseRepresentation
bin111001101110…
…1110011100000
32002221210202202
41303131303200
530222044030
63000432332
7515164523
oct163356340
962853682
1030268640
11160a4306
12a1786a8
13636a34c
14403cbba
1529cd745
hex1cddce0

30268640 has 48 divisors (see below), whose sum is σ = 72077040. Its totient is φ = 12011520.

The previous prime is 30268639. The next prime is 30268669. The reversal of 30268640 is 4686203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21560 + ... + 22920.

It is an arithmetic number, because the mean of its divisors is an integer number (1501605).

Almost surely, 230268640 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 30268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36038520).

30268640 is an abundant number, since it is smaller than the sum of its proper divisors (41808400).

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

30268640 is a wasteful number, since it uses less digits than its factorization.

30268640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 30268640 is about 5501.6942844909. The cubic root of 30268640 is about 311.6479702563.

The spelling of 30268640 in words is "thirty million, two hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1361 1390 2224 2722 2780 4448 5444 5560 6805 10888 11120 13610 21776 22240 27220 43552 54440 108880 189179 217760 378358 756716 945895 1513432 1891790 3026864 3783580 6053728 7567160 15134320 30268640