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1215132000 = 25353109929
BaseRepresentation
bin100100001101101…
…0111000101100000
310010200111002201220
41020123113011200
54442033211000
6320324255040
742053310615
oct11033270540
93120432656
101215132000
11573a01725
1229ab41480
13164991c24
14b754c50c
1571a291a0
hex486d7160

1215132000 has 192 divisors, whose sum is σ = 4021617600. Its totient is φ = 320716800.

The previous prime is 1215131993. The next prime is 1215132011. The reversal of 1215132000 is 2315121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307536 + ... + 1308464.

It is an arithmetic number, because the mean of its divisors is an integer number (20945925).

Almost surely, 21215132000 is an apocalyptic number.

1215132000 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 1215132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010808800).

1215132000 is an abundant number, since it is smaller than the sum of its proper divisors (2806485600).

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

1215132000 is a wasteful number, since it uses less digits than its factorization.

1215132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1215132000 is about 34858.7435229671. The cubic root of 1215132000 is about 1067.1066327391.

Adding to 1215132000 its reverse (2315121), we get a palindrome (1217447121).

The spelling of 1215132000 in words is "one billion, two hundred fifteen million, one hundred thirty-two thousand".