Search a number
-
+
1030146600 = 233527237947
BaseRepresentation
bin111101011001101…
…100101000101000
32122210101212110210
4331121230220220
54102204142400
6250115341120
734346046600
oct7531545050
92583355423
101030146600
1148954442a
12248bb17a0
13135563b02
149ab57c00
1560688950
hex3d66ca28

1030146600 has 288 divisors, whose sum is σ = 3819264480. Its totient is φ = 228856320.

The previous prime is 1030146587. The next prime is 1030146629. The reversal of 1030146600 is 66410301.

1030146600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301466002 = 2122404034983120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1087327 + ... + 1088273.

It is an arithmetic number, because the mean of its divisors is an integer number (13261335).

Almost surely, 21030146600 is an apocalyptic number.

1030146600 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 1030146600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909632240).

1030146600 is an abundant number, since it is smaller than the sum of its proper divisors (2789117880).

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

1030146600 is a wasteful number, since it uses less digits than its factorization.

1030146600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1030146600 is about 32095.8969340319. The cubic root of 1030146600 is about 1009.9495449095.

Adding to 1030146600 its reverse (66410301), we get a palindrome (1096556901).

The spelling of 1030146600 in words is "one billion, thirty million, one hundred forty-six thousand, six hundred".