Search a number
-
+
1030449920 = 2853125969
BaseRepresentation
bin111101011010110…
…110101100000000
32122210222021112212
4331122312230000
54102243344140
6250130041252
734351452113
oct7532665400
92583867485
101030449920
11489731305
12249119228
1313563bba6
149abd657a
15606e8765
hex3d6b6b00

1030449920 has 72 divisors (see below), whose sum is σ = 2547968640. Its totient is φ = 398868480.

The previous prime is 1030449913. The next prime is 1030449941. The reversal of 1030449920 is 299440301.

It is a happy number.

1030449920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 26696 + ... + 52664.

Almost surely, 21030449920 is an apocalyptic number.

1030449920 is a gapful number since it is divisible by the number (10) 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 1030449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273984320).

1030449920 is an abundant number, since it is smaller than the sum of its proper divisors (1517518720).

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

1030449920 is an equidigital number, since it uses as much as digits as its factorization.

1030449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26021 (or 26007 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1030449920 is about 32100.6218008312. The cubic root of 1030449920 is about 1010.0486595515.

The spelling of 1030449920 in words is "one billion, thirty million, four hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1984 2480 3968 4960 7936 9920 19840 25969 39680 51938 103876 129845 207752 259690 415504 519380 805039 831008 1038760 1610078 1662016 2077520 3220156 3324032 4025195 4155040 6440312 6648064 8050390 8310080 12880624 16100780 16620160 25761248 32201560 33240320 51522496 64403120 103044992 128806240 206089984 257612480 515224960 1030449920