Search a number
-
+
1210104000 = 26325375
BaseRepresentation
bin100100000100000…
…1011100011000000
310010100000122121200
41020020023203000
54434241312000
6320024421200
741662500000
oct11010134300
93110018550
101210104000
11571088056
12299317800
13163921491
14b6a00000
1571384500
hex4820b8c0

1210104000 has 504 divisors, whose sum is σ = 5050158048. Its totient is φ = 276595200.

The previous prime is 1210103989. The next prime is 1210104001. The reversal of 1210104000 is 4010121.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1210104001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172871997 + ... + 172872003.

Almost surely, 21210104000 is an apocalyptic number.

1210104000 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 1210104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525079024).

1210104000 is an abundant number, since it is smaller than the sum of its proper divisors (3840054048).

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

1210104000 is an frugal number, since it uses more digits than its factorization.

1210104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1210104000 is about 34786.5491246257. The cubic root of 1210104000 is about 1065.6327655428.

Adding to 1210104000 its reverse (4010121), we get a palindrome (1214114121).

The spelling of 1210104000 in words is "one billion, two hundred ten million, one hundred four thousand".