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66552060 = 22351958379
BaseRepresentation
bin1111110111100…
…0000011111100
311122020012021010
43331320003330
5114014131220
610334235220
71435453221
oct375700374
9148205233
1066552060
1134626603
121a355b10
1310a32323
148ba5948
155c991e0
hex3f780fc

66552060 has 48 divisors (see below), whose sum is σ = 196156800. Its totient is φ = 16812864.

The previous prime is 66552043. The next prime is 66552067. The reversal of 66552060 is 6025566.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66552067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28050 + ... + 30329.

It is an arithmetic number, because the mean of its divisors is an integer number (4086600).

Almost surely, 266552060 is an apocalyptic number.

66552060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66552060 is an abundant number, since it is smaller than the sum of its proper divisors (129604740).

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

66552060 is a wasteful number, since it uses less digits than its factorization.

66552060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58410 (or 58408 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 66552060 is about 8157.9445940752. The cubic root of 66552060 is about 405.2476461323.

It can be divided in two parts, 665 and 52060, that added together give a palindrome (52725).

The spelling of 66552060 in words is "sixty-six million, five hundred fifty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 58379 116758 175137 233516 291895 350274 583790 700548 875685 1109201 1167580 1751370 2218402 3327603 3502740 4436804 5546005 6655206 11092010 13310412 16638015 22184020 33276030 66552060