Search a number
-
+
5966436 = 2237273139
BaseRepresentation
bin10110110000101001100100
3102020010102010
4112300221210
53011411221
6331514220
7101466600
oct26605144
912203363
105966436
113405743
121bb8970
13130b948
14b14500
157ccc76
hex5b0a64

5966436 has 72 divisors (see below), whose sum is σ = 16534560. Its totient is φ = 1669248.

The previous prime is 5966419. The next prime is 5966459. The reversal of 5966436 is 6346695.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5966394 and 5966403.

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, 42855 + ... + 42993.

Almost surely, 25966436 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 5966436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267280).

5966436 is an abundant number, since it is smaller than the sum of its proper divisors (10568124).

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

5966436 is a wasteful number, since it uses less digits than its factorization.

5966436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 5966436 is about 2442.6289116442. The cubic root of 5966436 is about 181.3725930829.

The spelling of 5966436 in words is "five million, nine hundred sixty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 139 146 147 196 219 278 292 294 417 438 511 556 588 834 876 973 1022 1533 1668 1946 2044 2919 3066 3577 3892 5838 6132 6811 7154 10147 10731 11676 13622 14308 20294 20433 21462 27244 30441 40588 40866 42924 60882 71029 81732 121764 142058 213087 284116 426174 497203 852348 994406 1491609 1988812 2983218 5966436