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5325936 = 2437112131
BaseRepresentation
bin10100010100010001110000
3101000120210220
4110110101300
52330412221
6310053040
763161340
oct24242160
911016726
105325936
113008500
12194a180
131146255
149c8d20
157030c6
hex514470

5325936 has 120 divisors (see below), whose sum is σ = 17415552. Its totient is φ = 1372800.

The previous prime is 5325919. The next prime is 5325953. The reversal of 5325936 is 6395235.

It is an interprime number because it is at equal distance from previous prime (5325919) and next prime (5325953).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5325897 and 5325906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40591 + ... + 40721.

Almost surely, 25325936 is an apocalyptic number.

5325936 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 5325936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707776).

5325936 is an abundant number, since it is smaller than the sum of its proper divisors (12089616).

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

5325936 is a wasteful number, since it uses less digits than its factorization.

5325936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 5325936 is about 2307.7989513820. The cubic root of 5325936 is about 174.6352784989.

The spelling of 5325936 in words is "five million, three hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 131 132 154 168 176 231 242 262 264 308 336 363 393 462 484 524 528 616 726 786 847 917 924 968 1048 1232 1441 1452 1572 1694 1834 1848 1936 2096 2541 2751 2882 2904 3144 3388 3668 3696 4323 5082 5502 5764 5808 6288 6776 7336 8646 10087 10164 11004 11528 13552 14672 15851 17292 20174 20328 22008 23056 30261 31702 34584 40348 40656 44016 47553 60522 63404 69168 80696 95106 110957 121044 126808 161392 190212 221914 242088 253616 332871 380424 443828 484176 665742 760848 887656 1331484 1775312 2662968 5325936