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5190144 = 29331109
BaseRepresentation
bin10011110011001000000000
3100202200112120
4103303020000
52312041034
6303124240
762054421
oct23631000
910680476
105190144
112a25483
1218a3680
1310c94bb
14991648
156c7c49
hex4f3200

5190144 has 80 divisors (see below), whose sum is σ = 14403840. Its totient is φ = 1658880.

The previous prime is 5190139. The next prime is 5190167. The reversal of 5190144 is 4410915.

5190144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47562 + ... + 47670.

It is an arithmetic number, because the mean of its divisors is an integer number (180048).

Almost surely, 25190144 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 5190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7201920).

5190144 is an abundant number, since it is smaller than the sum of its proper divisors (9213696).

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

5190144 is a wasteful number, since it uses less digits than its factorization.

5190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5190144 is about 2278.1887542519. The cubic root of 5190144 is about 173.1382947559.

The spelling of 5190144 in words is "five million, one hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 109 124 128 186 192 218 248 256 327 372 384 436 496 512 654 744 768 872 992 1308 1488 1536 1744 1984 2616 2976 3379 3488 3968 5232 5952 6758 6976 7936 10137 10464 11904 13516 13952 15872 20274 20928 23808 27032 27904 40548 41856 47616 54064 55808 81096 83712 108128 162192 167424 216256 324384 432512 648768 865024 1297536 1730048 2595072 5190144