Search a number
-
+
1421973504 = 211327103107
BaseRepresentation
bin101010011000001…
…1001100000000000
310200002200201221100
41110300121200000
510403011123004
6353033454400
750144401230
oct12460314000
93602621840
101421973504
1166a737816
12338271400
131987a3253
14d6bd1cc0
1584c85739
hex54c19800

1421973504 has 288 divisors, whose sum is σ = 4783484160. Its totient is φ = 398573568.

The previous prime is 1421973481. The next prime is 1421973533. The reversal of 1421973504 is 4053791241.

1421973504 is a `hidden beast` number, since 142 + 1 + 9 + 7 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13289419 + ... + 13289525.

It is an arithmetic number, because the mean of its divisors is an integer number (16609320).

Almost surely, 21421973504 is an apocalyptic number.

1421973504 is a gapful number since it is divisible by the number (14) 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 1421973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391742080).

1421973504 is an abundant number, since it is smaller than the sum of its proper divisors (3361510656).

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

1421973504 is a wasteful number, since it uses less digits than its factorization.

1421973504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1421973504 is about 37709.0639501964. The cubic root of 1421973504 is about 1124.5113279119.

The spelling of 1421973504 in words is "one billion, four hundred twenty-one million, nine hundred seventy-three thousand, five hundred four".