Search a number
-
+
5674965120 = 273251189567
BaseRepresentation
bin1010100100100000…
…10001100010000000
3112122111110002122100
411102100101202000
543110242340440
62335042110400
7260426256546
oct52220214200
915574402570
105674965120
112452408320
12112464b400
136c5943c36
143bb99dd96
15233331230
hex152411880

5674965120 has 192 divisors, whose sum is σ = 21378090240. Its totient is φ = 1375733760.

The previous prime is 5674965113. The next prime is 5674965151. The reversal of 5674965120 is 215694765.

5674965120 is a `hidden beast` number, since 567 + 4 + 9 + 65 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×56749651202 = 64410458226433228800, which contains 22 as substring.

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

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, 18577 + ... + 108143.

It is an arithmetic number, because the mean of its divisors is an integer number (111344220).

Almost surely, 25674965120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5674965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10689045120).

5674965120 is an abundant number, since it is smaller than the sum of its proper divisors (15703125120).

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

5674965120 is a wasteful number, since it uses less digits than its factorization.

5674965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89603 (or 89588 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5674965120 is about 75332.3643595500. The cubic root of 5674965120 is about 1783.6969328393.

The spelling of 5674965120 in words is "five billion, six hundred seventy-four million, nine hundred sixty-five thousand, one hundred twenty".