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296993136 = 243113471621
BaseRepresentation
bin10001101100111…
…100000101110000
3202200211210222210
4101230330011300
51102012240021
645245332120
710234254126
oct2154740560
9680753883
10296993136
11142710380
1283567040
13496b72ab
142b62d916
151b117e76
hex11b3c170

296993136 has 80 divisors (see below), whose sum is σ = 839910528. Its totient is φ = 89683200.

The previous prime is 296993129. The next prime is 296993143. The reversal of 296993136 is 631399692.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (296993129) and next prime (296993143).

It is a super-2 number, since 2×2969931362 = 176409845662228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182406 + ... + 184026.

Almost surely, 2296993136 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 296993136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419955264).

296993136 is an abundant number, since it is smaller than the sum of its proper divisors (542917392).

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

296993136 is a wasteful number, since it uses less digits than its factorization.

296993136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its digits is 472392, while the sum is 48.

The square root of 296993136 is about 17233.4887936250. The cubic root of 296993136 is about 667.1888872661.

The spelling of 296993136 in words is "two hundred ninety-six million, nine hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 347 528 694 1041 1388 1621 2082 2776 3242 3817 4164 4863 5552 6484 7634 8328 9726 11451 12968 15268 16656 17831 19452 22902 25936 30536 35662 38904 45804 53493 61072 71324 77808 91608 106986 142648 183216 213972 285296 427944 562487 855888 1124974 1687461 2249948 3374922 4499896 6187357 6749844 8999792 12374714 13499688 18562071 24749428 26999376 37124142 49498856 74248284 98997712 148496568 296993136