Search a number
-
+
1466496900 = 22345211109151
BaseRepresentation
bin101011101101000…
…1111011110000100
310210012110202120000
41113122033132010
511000410400100
6401304041300
751225006111
oct12732173604
93705422500
101466496900
11692887910
1234b163230
131a4a9195b
14dcaa1908
1588b2c900
hex5768f784

1466496900 has 360 divisors, whose sum is σ = 5268204480. Its totient is φ = 349920000.

The previous prime is 1466496883. The next prime is 1466496901. The reversal of 1466496900 is 96946641.

1466496900 is a `hidden beast` number, since 14 + 66 + 496 + 90 + 0 = 666.

It is a super-2 number, since 2×14664969002 = 4301226315419220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1466496901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9711825 + ... + 9711975.

Almost surely, 21466496900 is an apocalyptic number.

1466496900 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 1466496900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634102240).

1466496900 is an abundant number, since it is smaller than the sum of its proper divisors (3801707580).

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

1466496900 is a wasteful number, since it uses less digits than its factorization.

1466496900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1466496900 is about 38294.8678023570. The cubic root of 1466496900 is about 1136.1274416058.

The spelling of 1466496900 in words is "one billion, four hundred sixty-six million, four hundred ninety-six thousand, nine hundred".