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68414640 = 24357193211
BaseRepresentation
bin1000001001111…
…10110010110000
311202201211020120
410010332302300
5120003232030
610442210240
71460341410
oct404766260
9152654216
1068414640
1135688a28
121aab3980
1311235048
14912c640
156016010
hex413ecb0

68414640 has 160 divisors (see below), whose sum is σ = 244793856. Its totient is φ = 15482880.

The previous prime is 68414629. The next prime is 68414653. The reversal of 68414640 is 4641486.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324135 + ... + 324345.

Almost surely, 268414640 is an apocalyptic number.

68414640 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 68414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122396928).

68414640 is an abundant number, since it is smaller than the sum of its proper divisors (176379216).

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

68414640 is a wasteful number, since it uses less digits than its factorization.

68414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 68414640 is about 8271.3142849247. The cubic root of 68414640 is about 408.9934460524.

The spelling of 68414640 in words is "sixty-eight million, four hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 193 210 211 240 280 336 386 420 422 560 579 633 772 840 844 965 1055 1158 1266 1351 1477 1544 1680 1688 1930 2110 2316 2532 2702 2895 2954 3088 3165 3376 3860 4053 4220 4431 4632 5064 5404 5790 5908 6330 6755 7385 7720 8106 8440 8862 9264 10128 10808 11580 11816 12660 13510 14770 15440 16212 16880 17724 20265 21616 22155 23160 23632 25320 27020 29540 32424 35448 40530 40723 44310 46320 50640 54040 59080 64848 70896 81060 81446 88620 108080 118160 122169 162120 162892 177240 203615 244338 285061 324240 325784 354480 407230 488676 570122 610845 651568 814460 855183 977352 1140244 1221690 1425305 1628920 1710366 1954704 2280488 2443380 2850610 3257840 3420732 4275915 4560976 4886760 5701220 6841464 8551830 9773520 11402440 13682928 17103660 22804880 34207320 68414640