Search a number
-
+
5854157400 = 23352721317253
BaseRepresentation
bin1010111001110111…
…10101101001011000
3120002222122000020110
411130323311221120
543442131014100
62404522524320
7265033342200
oct53473655130
916088560213
105854157400
112534579113
1211746666a0
13723ac4280
143d76c7400
15243e2a250
hex15cef5a58

5854157400 has 864 divisors, whose sum is σ = 24606393840. Its totient is φ = 1140572160.

The previous prime is 5854157399. The next prime is 5854157437. The reversal of 5854157400 is 47514585.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 110455774 + ... + 110455826.

Almost surely, 25854157400 is an apocalyptic number.

5854157400 is a gapful number since it is divisible by the number (50) 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 5854157400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303196920).

5854157400 is an abundant number, since it is smaller than the sum of its proper divisors (18752236440).

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

5854157400 is a wasteful number, since it uses less digits than its factorization.

5854157400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The square root of 5854157400 is about 76512.4656510297. The cubic root of 5854157400 is about 1802.2766870738.

The spelling of 5854157400 in words is "five billion, eight hundred fifty-four million, one hundred fifty-seven thousand, four hundred".