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5034960 = 24355737
BaseRepresentation
bin10011001101001111010000
3100110210200000
4103031033100
52242104320
6255530000
760540120
oct23151720
910423600
105034960
112929927
121829900
131073988
14950c80
15696c90
hex4cd3d0

5034960 has 240 divisors, whose sum is σ = 20582016. Its totient is φ = 1119744.

The previous prime is 5034959. The next prime is 5034961. The reversal of 5034960 is 694305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5034959) and next prime (5034961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5034961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136062 + ... + 136098.

Almost surely, 25034960 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 5034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291008).

5034960 is an abundant number, since it is smaller than the sum of its proper divisors (15547056).

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

5034960 is a wasteful number, since it uses less digits than its factorization.

5034960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5034960 is about 2243.8716540836. The cubic root of 5034960 is about 171.3952077929.

The spelling of 5034960 in words is "five million, thirty-four thousand, nine hundred sixty".