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5400672 = 253101557
BaseRepresentation
bin10100100110100001100000
3101011101022220
4110212201200
52340310142
6311431040
763622254
oct24464140
911141286
105400672
113059672
121985480
131171284
14a08264
1571a2ec
hex526860

5400672 has 48 divisors (see below), whose sum is σ = 14342832. Its totient is φ = 1779200.

The previous prime is 5400649. The next prime is 5400673. The reversal of 5400672 is 2760045.

It is a happy number.

5400672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5400673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9418 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (298809).

Almost surely, 25400672 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 5400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171416).

5400672 is an abundant number, since it is smaller than the sum of its proper divisors (8942160).

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

5400672 is a wasteful number, since it uses less digits than its factorization.

5400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5400672 is about 2323.9345946046. The cubic root of 5400672 is about 175.4483415462.

The spelling of 5400672 in words is "five million, four hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 557 606 808 1114 1212 1616 1671 2228 2424 3232 3342 4456 4848 6684 8912 9696 13368 17824 26736 53472 56257 112514 168771 225028 337542 450056 675084 900112 1350168 1800224 2700336 5400672