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296133040 = 2457618669
BaseRepresentation
bin10001101001101…
…010000110110000
3202122020010011101
4101221222012300
51101302224130
645215054144
710224042430
oct2151520660
9678203141
10296133040
11142183155
1283211354
1349475968
142b4882c0
151aee81ca
hex11a6a1b0

296133040 has 80 divisors (see below), whose sum is σ = 799859520. Its totient is φ = 99855360.

The previous prime is 296133029. The next prime is 296133043. The reversal of 296133040 is 40331692.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (296133043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29826 + ... + 38494.

It is an arithmetic number, because the mean of its divisors is an integer number (9998244).

Almost surely, 2296133040 is an apocalyptic number.

296133040 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 296133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399929760).

296133040 is an abundant number, since it is smaller than the sum of its proper divisors (503726480).

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

296133040 is a wasteful number, since it uses less digits than its factorization.

296133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 296133040 is about 17208.5164962004. The cubic root of 296133040 is about 666.5442019494.

The spelling of 296133040 in words is "two hundred ninety-six million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4880 6832 8540 8669 17080 17338 34160 34676 43345 60683 69352 86690 121366 138704 173380 242732 303415 346760 485464 528809 606830 693520 970928 1057618 1213660 2115236 2427320 2644045 3701663 4230472 4854640 5288090 7403326 8460944 10576180 14806652 18508315 21152360 29613304 37016630 42304720 59226608 74033260 148066520 296133040