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67303680 = 2835171031
BaseRepresentation
bin1000000001011…
…11100100000000
311200122101021220
410000233210000
5114212204210
610402315040
71445033433
oct400574400
9150571256
1067303680
1134a9a284
121a658a80
1310c36482
148d1d81a
155d96c70
hex402f900

67303680 has 144 divisors (see below), whose sum is σ = 227816064. Its totient is φ = 16875520.

The previous prime is 67303657. The next prime is 67303699. The reversal of 67303680 is 8630376.

It is a happy 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, 64765 + ... + 65795.

It is an arithmetic number, because the mean of its divisors is an integer number (1582056).

Almost surely, 267303680 is an apocalyptic number.

67303680 is a gapful number since it is divisible by the number (60) 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 67303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113908032).

67303680 is an abundant number, since it is smaller than the sum of its proper divisors (160512384).

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

67303680 is a wasteful number, since it uses less digits than its factorization.

67303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 67303680 is about 8203.8820079277. The cubic root of 67303680 is about 406.7675225380.

The spelling of 67303680 in words is "sixty-seven million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1031 1088 1280 1360 1632 1920 2040 2062 2176 2720 3093 3264 3840 4080 4124 4352 5155 5440 6186 6528 8160 8248 10310 10880 12372 13056 15465 16320 16496 17527 20620 21760 24744 30930 32640 32992 35054 41240 49488 52581 61860 65280 65984 70108 82480 87635 98976 105162 123720 131968 140216 164960 175270 197952 210324 247440 262905 263936 280432 329920 350540 395904 420648 494880 525810 560864 659840 701080 791808 841296 989760 1051620 1121728 1319680 1402160 1682592 1979520 2103240 2243456 2804320 3365184 3959040 4206480 4486912 5608640 6730368 8412960 11217280 13460736 16825920 22434560 33651840 67303680