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66061140 = 2235892139
BaseRepresentation
bin1111110000000…
…0001101010100
311121022020211220
43330000031110
5113402424030
610315530340
71431340035
oct374001524
9147266756
1066061140
1134320792
121a1599b0
13108bca42
148ab8a8c
155beda10
hex3f00354

66061140 has 72 divisors (see below), whose sum is σ = 188418720. Its totient is φ = 17293056.

The previous prime is 66061123. The next prime is 66061153. The reversal of 66061140 is 4116066.

It is a self number, because there is not a number n which added to its sum of digits gives 66061140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475191 + ... + 475329.

Almost surely, 266061140 is an apocalyptic number.

66061140 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 66061140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94209360).

66061140 is an abundant number, since it is smaller than the sum of its proper divisors (122357580).

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

66061140 is a wasteful number, since it uses less digits than its factorization.

66061140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 66061140 is about 8127.8004404636. The cubic root of 66061140 is about 404.2487521422.

The spelling of 66061140 in words is "sixty-six million, sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 139 178 267 278 356 417 445 534 556 695 834 890 1068 1335 1390 1668 1780 2085 2670 2780 4170 5340 7921 8340 12371 15842 23763 24742 31684 37113 39605 47526 49484 61855 74226 79210 95052 118815 123710 148452 158420 185565 237630 247420 371130 475260 742260 1101019 2202038 3303057 4404076 5505095 6606114 11010190 13212228 16515285 22020380 33030570 66061140