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66120 = 23351929
BaseRepresentation
bin10000001001001000
310100200220
4100021020
54103440
61230040
7363525
oct201110
9110626
1066120
114574a
1232320
1324132
141a14c
15148d0
hex10248

66120 has 64 divisors (see below), whose sum is σ = 216000. Its totient is φ = 16128.

The previous prime is 66109. The next prime is 66137. The reversal of 66120 is 2166.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 66120.

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, 2266 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

266120 is an apocalyptic number.

66120 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 66120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

66120 is an abundant number, since it is smaller than the sum of its proper divisors (149880).

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

66120 is a wasteful number, since it uses less digits than its factorization.

66120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 66120 is about 257.1380951940. The cubic root of 66120 is about 40.4368777411.

Adding to 66120 its reverse (2166), we get a palindrome (68286).

The spelling of 66120 in words is "sixty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 29 30 38 40 57 58 60 76 87 95 114 116 120 145 152 174 190 228 232 285 290 348 380 435 456 551 570 580 696 760 870 1102 1140 1160 1653 1740 2204 2280 2755 3306 3480 4408 5510 6612 8265 11020 13224 16530 22040 33060 66120