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1030243200 = 27352715331
BaseRepresentation
bin111101011010000…
…100001110000000
32122210120202222120
4331122010032000
54102220240300
6250121404240
734346631330
oct7532041600
92583522876
101030243200
114895aaa68
12249039680
13135598a7c
149ab810c0
15606a73a0
hex3d684380

1030243200 has 192 divisors, whose sum is σ = 3878382720. Its totient is φ = 235468800.

The previous prime is 1030243153. The next prime is 1030243211. The reversal of 1030243200 is 23420301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10302432002 = 2122802102292480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1030243200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59535 + ... + 74865.

It is an arithmetic number, because the mean of its divisors is an integer number (20199910).

Almost surely, 21030243200 is an apocalyptic number.

1030243200 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 1030243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939191360).

1030243200 is an abundant number, since it is smaller than the sum of its proper divisors (2848139520).

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

1030243200 is a wasteful number, since it uses less digits than its factorization.

1030243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15365 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1030243200 is about 32097.4017640058. The cubic root of 1030243200 is about 1009.9811126096.

Adding to 1030243200 its reverse (23420301), we get a palindrome (1053663501).

The spelling of 1030243200 in words is "one billion, thirty million, two hundred forty-three thousand, two hundred".