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296660080 = 24531375361
BaseRepresentation
bin10001101011101…
…010110001110000
3202200012220010101
4101223222301300
51101421110310
645234242144
710231366123
oct2153526160
9680186111
10296660080
11142503122
1283426354
13495cb812
142b5843ba
151b09e43a
hex11aeac70

296660080 has 160 divisors (see below), whose sum is σ = 757237248. Its totient is φ = 107827200.

The previous prime is 296660069. The next prime is 296660087. The reversal of 296660080 is 80066692.

296660080 = T239 + T240 + ... + T1214.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296660087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4863250 + ... + 4863310.

Almost surely, 2296660080 is an apocalyptic number.

296660080 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 296660080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378618624).

296660080 is an abundant number, since it is smaller than the sum of its proper divisors (460577168).

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

296660080 is a wasteful number, since it uses less digits than its factorization.

296660080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 296660080 is about 17223.8230367128. The cubic root of 296660080 is about 666.9393928599.

The spelling of 296660080 in words is "two hundred ninety-six million, six hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 53 61 62 74 80 106 122 124 148 155 185 212 244 248 265 296 305 310 370 424 488 496 530 592 610 620 740 848 976 1060 1147 1220 1240 1480 1643 1891 1961 2120 2257 2294 2440 2480 2960 3233 3286 3782 3922 4240 4514 4588 4880 5735 6466 6572 7564 7844 8215 9028 9176 9455 9805 11285 11470 12932 13144 15128 15688 16165 16430 18056 18352 18910 19610 22570 22940 25864 26288 30256 31376 32330 32860 36112 37820 39220 45140 45880 51728 60791 64660 65720 69967 75640 78440 90280 91760 100223 119621 121582 129320 131440 139934 151280 156880 180560 200446 239242 243164 258640 279868 303955 349835 400892 478484 486328 501115 559736 598105 607910 699670 801784 956968 972656 1002230 1119472 1196210 1215820 1399340 1603568 1913936 2004460 2392420 2431640 2798680 3708251 4008920 4784840 4863280 5597360 7416502 8017840 9569680 14833004 18541255 29666008 37082510 59332016 74165020 148330040 296660080