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5142704 = 247173773
BaseRepresentation
bin10011100111100010110000
3100200021110112
4103213202300
52304031304
6302120452
761466210
oct23474260
910607415
105142704
1129a2876
121880128
1310b0a28
1497c240
156b8b6e
hex4e78b0

5142704 has 80 divisors (see below), whose sum is σ = 12552768. Its totient is φ = 1990656.

The previous prime is 5142689. The next prime is 5142713. The reversal of 5142704 is 4072415.

It is a self number, because there is not a number n which added to its sum of digits gives 5142704.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 70412 + ... + 70484.

Almost surely, 25142704 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 5142704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276384).

5142704 is an abundant number, since it is smaller than the sum of its proper divisors (7410064).

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

5142704 is a wasteful number, since it uses less digits than its factorization.

5142704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 5142704 is about 2267.7530729777. The cubic root of 5142704 is about 172.6091614597.

Adding to 5142704 its product of nonzero digits (1120), we get a square (5143824 = 22682).

The spelling of 5142704 in words is "five million, one hundred forty-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 37 56 68 73 74 112 119 136 146 148 238 259 272 292 296 476 511 518 584 592 629 952 1022 1036 1168 1241 1258 1904 2044 2072 2482 2516 2701 4088 4144 4403 4964 5032 5402 8176 8687 8806 9928 10064 10804 17374 17612 18907 19856 21608 34748 35224 37814 43216 45917 69496 70448 75628 91834 138992 151256 183668 302512 321419 367336 642838 734672 1285676 2571352 5142704