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5313924 = 223571171
BaseRepresentation
bin10100010001010110000100
3100222222100000
4110101112010
52330021144
6305521300
763111330
oct24212604
910888300
105313924
112aaa480
121943230
131140945
149c47c0
156ee769
hex511584

5313924 has 144 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1360800.

The previous prime is 5313907. The next prime is 5313929. The reversal of 5313924 is 4293135.

5313924 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 (27).

Its product of digits (3240) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (5313929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74809 + ... + 74879.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

Almost surely, 25313924 is an apocalyptic number.

5313924 is a gapful number since it is divisible by the number (54) 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 5313924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

5313924 is an abundant number, since it is smaller than the sum of its proper divisors (12297852).

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

5313924 is a wasteful number, since it uses less digits than its factorization.

5313924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 5313924 is about 2305.1950025974. The cubic root of 5313924 is about 174.5038901386.

The spelling of 5313924 in words is "five million, three hundred thirteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 71 77 81 84 99 108 126 132 142 154 162 189 198 213 231 243 252 284 297 308 324 378 396 426 462 486 497 567 594 639 693 756 781 852 891 924 972 994 1134 1188 1278 1386 1491 1562 1701 1782 1917 1988 2079 2268 2343 2556 2673 2772 2982 3124 3402 3564 3834 4158 4473 4686 5346 5467 5751 5964 6237 6804 7029 7668 8316 8946 9372 10692 10934 11502 12474 13419 14058 16401 17253 17892 18711 21087 21868 23004 24948 26838 28116 32802 34506 37422 40257 42174 49203 53676 63261 65604 69012 74844 80514 84348 98406 120771 126522 147609 161028 189783 196812 241542 253044 295218 379566 442827 483084 590436 759132 885654 1328481 1771308 2656962 5313924