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5435136 = 28327337
BaseRepresentation
bin10100101110111100000000
3101020010121100
4110232330000
52342411021
6312254400
764124610
oct24567400
911203540
105435136
113082553
1219a1400
131183b75
14a16a40
15725626
hex52ef00

5435136 has 108 divisors (see below), whose sum is σ = 17962672. Its totient is φ = 1548288.

The previous prime is 5435123. The next prime is 5435147. The reversal of 5435136 is 6315345.

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, 15960 + ... + 16296.

Almost surely, 25435136 is an apocalyptic number.

5435136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981336).

5435136 is an abundant number, since it is smaller than the sum of its proper divisors (12527536).

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

5435136 is a wasteful number, since it uses less digits than its factorization.

5435136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 349 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 5435136 is about 2331.3378133595. The cubic root of 5435136 is about 175.8207541495.

The spelling of 5435136 in words is "five million, four hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 337 384 448 504 576 672 674 768 896 1008 1011 1152 1344 1348 1792 2016 2022 2304 2359 2688 2696 3033 4032 4044 4718 5376 5392 6066 7077 8064 8088 9436 10784 12132 14154 16128 16176 18872 21231 21568 24264 28308 32352 37744 42462 43136 48528 56616 64704 75488 84924 86272 97056 113232 129408 150976 169848 194112 226464 258816 301952 339696 388224 452928 603904 679392 776448 905856 1358784 1811712 2717568 5435136