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1030124000 = 25532311197
BaseRepresentation
bin111101011001100…
…111000111100000
32122210100201110202
4331121213013200
54102202432000
6250115044332
734345623653
oct7531470740
92583321422
101030124000
11489529454
12248ba06a8
13135556739
149ab4d89a
1560681dd5
hex3d6671e0

1030124000 has 96 divisors (see below), whose sum is σ = 2641294656. Its totient is φ = 394099200.

The previous prime is 1030123999. The next prime is 1030124009. The reversal of 1030124000 is 4210301.

It is a happy number.

1030124000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301240002 = 2122310910752000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030124009) 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, 86402 + ... + 97598.

It is an arithmetic number, because the mean of its divisors is an integer number (27513486).

Almost surely, 21030124000 is an apocalyptic number.

1030124000 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 1030124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320647328).

1030124000 is an abundant number, since it is smaller than the sum of its proper divisors (1611170656).

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

1030124000 is a wasteful number, since it uses less digits than its factorization.

1030124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11245 (or 11227 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1030124000 is about 32095.5448621767. The cubic root of 1030124000 is about 1009.9421592207.

Adding to 1030124000 its reverse (4210301), we get a palindrome (1034334301).

The spelling of 1030124000 in words is "one billion, thirty million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11197 11500 18400 22394 23000 44788 46000 55985 89576 92000 111970 179152 223940 257531 279925 358304 447880 515062 559850 895760 1030124 1119700 1287655 1399625 1791520 2060248 2239400 2575310 2799250 4120496 4478800 5150620 5598500 6438275 8240992 8957600 10301240 11197000 12876550 20602480 22394000 25753100 32191375 41204960 44788000 51506200 64382750 103012400 128765500 206024800 257531000 515062000 1030124000