Search a number
-
+
4969920 = 263531167
BaseRepresentation
bin10010111101010111000000
3100100111110010
4102331113000
52233014140
6254304520
760146364
oct22752700
910314403
104969920
112894a7a
1217b8140
1310501a7
149352a4
15682880
hex4bd5c0

4969920 has 112 divisors (see below), whose sum is σ = 16386048. Its totient is φ = 1274880.

The previous prime is 4969901. The next prime is 4969931. The reversal of 4969920 is 299694.

4969920 = T369 + T370 + ... + T430.

4969920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29677 + ... + 29843.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

Almost surely, 24969920 is an apocalyptic number.

4969920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193024).

4969920 is an abundant number, since it is smaller than the sum of its proper divisors (11416128).

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

4969920 is a wasteful number, since it uses less digits than its factorization.

4969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 4969920 is about 2229.3317384364. The cubic root of 4969920 is about 170.6539975405.

The spelling of 4969920 in words is "four million, nine hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 167 186 192 240 248 310 320 334 372 465 480 496 501 620 668 744 835 930 960 992 1002 1240 1336 1488 1670 1860 1984 2004 2480 2505 2672 2976 3340 3720 4008 4960 5010 5177 5344 5952 6680 7440 8016 9920 10020 10354 10688 13360 14880 15531 16032 20040 20708 25885 26720 29760 31062 32064 40080 41416 51770 53440 62124 77655 80160 82832 103540 124248 155310 160320 165664 207080 248496 310620 331328 414160 496992 621240 828320 993984 1242480 1656640 2484960 4969920