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66254540 = 22511614937
BaseRepresentation
bin1111110010111…
…1011011001100
311121200002010212
43330233123030
5113430121130
610324021552
71433103632
oct374573314
9147602125
1066254540
1134443020
121a2318b8
1310959a91
148b29352
155c3ae95
hex3f2f6cc

66254540 has 48 divisors (see below), whose sum is σ = 154302624. Its totient is φ = 23692800.

The previous prime is 66254521. The next prime is 66254557. The reversal of 66254540 is 4545266.

It is a super-2 number, since 2×662545402 = 8779328141223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66254497 and 66254506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10952 + ... + 15888.

It is an arithmetic number, because the mean of its divisors is an integer number (3214638).

Almost surely, 266254540 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 66254540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77151312).

66254540 is an abundant number, since it is smaller than the sum of its proper divisors (88048084).

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

66254540 is a wasteful number, since it uses less digits than its factorization.

66254540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 66254540 is about 8139.6891832551. The cubic root of 66254540 is about 404.6428594687.

The spelling of 66254540 in words is "sixty-six million, two hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 4937 6710 9874 13420 19748 24685 49370 54307 98740 108614 217228 271535 301157 543070 602314 1086140 1204628 1505785 3011570 3312727 6023140 6625454 13250908 16563635 33127270 66254540