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296693020 = 225132611439
BaseRepresentation
bin10001101011110…
…010110100011100
3202200021120022101
4101223302310130
51101423134040
645235054444
710231564141
oct2153626434
9680246271
10296693020
11142525948
1283441424
1349610800
142b5923c8
151b0a909a
hex11af2d1c

296693020 has 72 divisors (see below), whose sum is σ = 686206080. Its totient is φ = 107677440.

The previous prime is 296693017. The next prime is 296693021. The reversal of 296693020 is 20396692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296693021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205461 + ... + 206899.

It is an arithmetic number, because the mean of its divisors is an integer number (9530640).

Almost surely, 2296693020 is an apocalyptic number.

296693020 is a gapful number since it is divisible by the number (20) 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 296693020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343103040).

296693020 is an abundant number, since it is smaller than the sum of its proper divisors (389513060).

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

296693020 is a wasteful number, since it uses less digits than its factorization.

296693020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 296693020 is about 17224.7792438684. The cubic root of 296693020 is about 666.9640767456.

The spelling of 296693020 in words is "two hundred ninety-six million, six hundred ninety-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 169 244 260 305 338 610 676 793 845 1220 1439 1586 1690 2878 3172 3380 3965 5756 7195 7930 10309 14390 15860 18707 20618 28780 37414 41236 51545 74828 87779 93535 103090 175558 187070 206180 243191 351116 374140 438895 486382 877790 972764 1141127 1215955 1755580 2282254 2431910 4564508 4863820 5705635 11411270 14834651 22822540 29669302 59338604 74173255 148346510 296693020