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66472140 = 223571011567
BaseRepresentation
bin1111110110010…
…0100011001100
311122002010122010
43331210203030
5114004102030
610332421220
71435001220
oct375444314
9148063563
1066472140
1134581559
121a317810
1310a04b37
148b84780
155c806b0
hex3f648cc

66472140 has 96 divisors (see below), whose sum is σ = 214953984. Its totient is φ = 15033600.

The previous prime is 66472099. The next prime is 66472157. The reversal of 66472140 is 4127466.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66472098 and 66472107.

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, 41637 + ... + 43203.

It is an arithmetic number, because the mean of its divisors is an integer number (2239104).

Almost surely, 266472140 is an apocalyptic number.

66472140 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 66472140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107476992).

66472140 is an abundant number, since it is smaller than the sum of its proper divisors (148481844).

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

66472140 is a wasteful number, since it uses less digits than its factorization.

66472140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 66472140 is about 8153.0448300006. The cubic root of 66472140 is about 405.0853653313.

The spelling of 66472140 in words is "sixty-six million, four hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 1010 1212 1414 1515 1567 2020 2121 2828 3030 3134 3535 4242 4701 6060 6268 7070 7835 8484 9402 10605 10969 14140 15670 18804 21210 21938 23505 31340 32907 42420 43876 47010 54845 65814 94020 109690 131628 158267 164535 219380 316534 329070 474801 633068 658140 791335 949602 1107869 1582670 1899204 2215738 2374005 3165340 3323607 4431476 4748010 5539345 6647214 9496020 11078690 13294428 16618035 22157380 33236070 66472140