Search a number
-
+
1402452000 = 253253163239
BaseRepresentation
bin101001110010111…
…1011100000100000
310121201221221110200
41103211323200200
510333011431000
6351055225200
746516434225
oct12345734040
93551857420
101402452000
1165a713a44
12331818200
13194729871
14d438d94c
15831cb500
hex5397b820

1402452000 has 288 divisors, whose sum is σ = 5028791040. Its totient is φ = 370137600.

The previous prime is 1402451989. The next prime is 1402452041. The reversal of 1402452000 is 2542041.

1402452000 is a `hidden beast` number, since 140 + 2 + 4 + 520 + 0 + 0 = 666.

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

It is a super-2 number, since 2×14024520002 = 3933743224608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5867881 + ... + 5868119.

It is an arithmetic number, because the mean of its divisors is an integer number (17461080).

Almost surely, 21402452000 is an apocalyptic number.

1402452000 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 1402452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514395520).

1402452000 is an abundant number, since it is smaller than the sum of its proper divisors (3626339040).

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

1402452000 is a wasteful number, since it uses less digits than its factorization.

1402452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1402452000 is about 37449.3257616209. The cubic root of 1402452000 is about 1119.3416624238.

Adding to 1402452000 its reverse (2542041), we get a palindrome (1404994041).

The spelling of 1402452000 in words is "one billion, four hundred two million, four hundred fifty-two thousand".