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64042160 = 24571319463
BaseRepresentation
bin1111010001001…
…1010010110000
311110111200022212
43310103102300
5112343322120
610204351252
71405230560
oct364232260
9143450285
1064042160
1133171906
1219545528
1310363a90
148710da0
1559506c5
hex3d134b0

64042160 has 160 divisors (see below), whose sum is σ = 193320960. Its totient is φ = 19160064.

The previous prime is 64042133. The next prime is 64042171. The reversal of 64042160 is 6124046.

It is a happy number.

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, 138089 + ... + 138551.

It is an arithmetic number, because the mean of its divisors is an integer number (1208256).

Almost surely, 264042160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96660480).

64042160 is an abundant number, since it is smaller than the sum of its proper divisors (129278800).

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

64042160 is a wasteful number, since it uses less digits than its factorization.

64042160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 64042160 is about 8002.6345661913. The cubic root of 64042160 is about 400.0878140537.

The spelling of 64042160 in words is "sixty-four million, forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 182 190 208 247 260 266 280 304 364 380 455 463 494 520 532 560 665 728 760 910 926 988 1040 1064 1235 1330 1456 1520 1729 1820 1852 1976 2128 2315 2470 2660 3241 3458 3640 3704 3952 4630 4940 5320 6019 6482 6916 7280 7408 8645 8797 9260 9880 10640 12038 12964 13832 16205 17290 17594 18520 19760 24076 25928 27664 30095 32410 34580 35188 37040 42133 43985 48152 51856 60190 61579 64820 69160 70376 84266 87970 96304 114361 120380 123158 129640 138320 140752 168532 175940 210665 228722 240760 246316 259280 307895 337064 351880 421330 457444 481520 492632 571805 615790 674128 703760 800527 842660 914888 985264 1143610 1231580 1601054 1685320 1829776 2287220 2463160 3202108 3370640 4002635 4574440 4926320 6404216 8005270 9148880 12808432 16010540 32021080 64042160