Search a number
-
+
66140460 = 22325379931
BaseRepresentation
bin1111110001001…
…1100100101100
311121110021122200
43330103210230
5113412443320
610321341500
71432120221
oct374234454
9147407580
1066140460
1134375341
121a197890
1310919b89
148ad9948
155c17290
hex3f1392c

66140460 has 72 divisors (see below), whose sum is σ = 206069136. Its totient is φ = 17159040.

The previous prime is 66140443. The next prime is 66140461. The reversal of 66140460 is 6404166.

66140460 is a `hidden beast` number, since 6 + 614 + 0 + 46 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (66140461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1695 + ... + 11625.

Almost surely, 266140460 is an apocalyptic number.

66140460 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 66140460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103034568).

66140460 is an abundant number, since it is smaller than the sum of its proper divisors (139928676).

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

66140460 is a wasteful number, since it uses less digits than its factorization.

66140460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9983 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66140460 is about 8132.6785255536. The cubic root of 66140460 is about 404.4104820489.

The spelling of 66140460 in words is "sixty-six million, one hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 9931 19862 29793 39724 49655 59586 89379 99310 119172 148965 178758 198620 297930 357516 367447 446895 595860 734894 893790 1102341 1469788 1787580 1837235 2204682 3307023 3674470 4409364 5511705 6614046 7348940 11023410 13228092 16535115 22046820 33070230 66140460