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66361140 = 22335122891
BaseRepresentation
bin1111110100100…
…1011100110100
311121212111101000
43331021130310
5113442024030
610330203300
71434026466
oct375113464
9147774330
1066361140
113450611a
121a283530
1310996461
148b56136
155c5c860
hex3f49734

66361140 has 48 divisors (see below), whose sum is σ = 206458560. Its totient is φ = 17696160.

The previous prime is 66361123. The next prime is 66361153. The reversal of 66361140 is 4116366.

66361140 is a `hidden beast` number, since 6 + 6 + 3 + 611 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60906 + ... + 61985.

It is an arithmetic number, because the mean of its divisors is an integer number (4301220).

Almost surely, 266361140 is an apocalyptic number.

66361140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66361140 is an abundant number, since it is smaller than the sum of its proper divisors (140097420).

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

66361140 is a wasteful number, since it uses less digits than its factorization.

66361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122909 (or 122901 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66361140 is about 8146.2347130438. The cubic root of 66361140 is about 404.8597594002.

It can be divided in two parts, 6636 and 1140, that added together give a 5-th power (7776 = 65).

The spelling of 66361140 in words is "sixty-six million, three hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 122891 245782 368673 491564 614455 737346 1106019 1228910 1474692 1843365 2212038 2457820 3318057 3686730 4424076 5530095 6636114 7373460 11060190 13272228 16590285 22120380 33180570 66361140