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5973968 = 2471113373
BaseRepresentation
bin10110110010011111010000
3102020111202002
4112302133100
53012131333
6332013132
7101530550
oct26623720
912214662
105973968
113410370
1220011a8
1313121c0
14b17160
157d00e8
hex5b27d0

5973968 has 80 divisors (see below), whose sum is σ = 15582336. Its totient is φ = 2142720.

The previous prime is 5973949. The next prime is 5973973. The reversal of 5973968 is 8693795.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15830 + ... + 16202.

Almost surely, 25973968 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 5973968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791168).

5973968 is an abundant number, since it is smaller than the sum of its proper divisors (9608368).

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

5973968 is a wasteful number, since it uses less digits than its factorization.

5973968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its digits is 408240, while the sum is 47.

The square root of 5973968 is about 2444.1702068391. The cubic root of 5973968 is about 181.4488822848.

The spelling of 5973968 in words is "five million, nine hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 373 572 616 728 746 1001 1144 1232 1456 1492 2002 2288 2611 2984 4004 4103 4849 5222 5968 8008 8206 9698 10444 16016 16412 19396 20888 28721 32824 33943 38792 41776 53339 57442 65648 67886 77584 106678 114884 135772 213356 229768 271544 373373 426712 459536 543088 746746 853424 1493492 2986984 5973968