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65406066 = 23112233917
BaseRepresentation
bin1111100110000…
…0010001110010
311120001222020220
43321200101302
5113220443231
610253513510
71422641145
oct371402162
9146058226
1065406066
1133a13600
1219aa2896
131072081b
14898805c
155b1e896
hex3e60472

65406066 has 48 divisors (see below), whose sum is σ = 150075072. Its totient is φ = 18953440.

The previous prime is 65406031. The next prime is 65406067. The reversal of 65406066 is 66060456.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (65406067) 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, 14740 + ... + 18656.

It is an arithmetic number, because the mean of its divisors is an integer number (3126564).

Almost surely, 265406066 is an apocalyptic number.

65406066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 65406066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75037536).

65406066 is an abundant number, since it is smaller than the sum of its proper divisors (84669006).

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

65406066 is a wasteful number, since it uses less digits than its factorization.

65406066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 65406066 is about 8087.4016841010. The cubic root of 65406066 is about 402.9081101669.

The spelling of 65406066 in words is "sixty-five million, four hundred six thousand, sixty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 1518 2783 3917 5566 7834 8349 11751 16698 23502 43087 86174 90091 129261 180182 258522 270273 473957 540546 947914 991001 1421871 1982002 2843742 2973003 5946006 10901011 21802022 32703033 65406066