Search a number
-
+
4920072 = 2331731389
BaseRepresentation
bin10010110001001100001000
3100020222001220
4102301030020
52224420242
6253242040
756551143
oct22611410
910228056
104920072
112860583
121793320
1310335b1
1492105a
15672bec
hex4b1308

4920072 has 64 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1489920.

The previous prime is 4920067. The next prime is 4920073. The reversal of 4920072 is 2700294.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4920073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12454 + ... + 12842.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

Almost surely, 24920072 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 4920072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

4920072 is an abundant number, since it is smaller than the sum of its proper divisors (8558328).

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

4920072 is a wasteful number, since it uses less digits than its factorization.

4920072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4920072 is about 2218.1235312759. The cubic root of 4920072 is about 170.0815295208.

The spelling of 4920072 in words is "four million, nine hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 389 408 527 744 778 1054 1167 1556 1581 2108 2334 3112 3162 4216 4668 6324 6613 9336 12059 12648 13226 19839 24118 26452 36177 39678 48236 52904 72354 79356 96472 144708 158712 205003 289416 410006 615009 820012 1230018 1640024 2460036 4920072