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5003136 = 273243101
BaseRepresentation
bin10011000101011110000000
3100102012000100
4103011132000
52240100021
6255122400
760345255
oct23053600
910365010
105003136
112907a26
121813400
131062348
1494342c
1568c626
hex4c5780

5003136 has 96 divisors (see below), whose sum is σ = 14877720. Its totient is φ = 1612800.

The previous prime is 5003123. The next prime is 5003143. The reversal of 5003136 is 6313005.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49486 + ... + 49586.

Almost surely, 25003136 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 5003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438860).

5003136 is an abundant number, since it is smaller than the sum of its proper divisors (9874584).

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

5003136 is a wasteful number, since it uses less digits than its factorization.

5003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 5003136 is about 2236.7690984990. The cubic root of 5003136 is about 171.0333370933.

The spelling of 5003136 in words is "five million, three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 101 128 129 144 172 192 202 258 288 303 344 384 387 404 516 576 606 688 774 808 909 1032 1152 1212 1376 1548 1616 1818 2064 2424 2752 3096 3232 3636 4128 4343 4848 5504 6192 6464 7272 8256 8686 9696 12384 12928 13029 14544 16512 17372 19392 24768 26058 29088 34744 38784 39087 49536 52116 58176 69488 78174 104232 116352 138976 156348 208464 277952 312696 416928 555904 625392 833856 1250784 1667712 2501568 5003136