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66996120 = 23351793119
BaseRepresentation
bin1111111110010…
…0011110011000
311200001202101210
43333210132120
5114122333440
610351543120
71442312652
oct377443630
9150052353
1066996120
11348aa1a4
121a52aaa0
1310b59499
148c7d6d2
155d35a80
hex3fe4798

66996120 has 64 divisors (see below), whose sum is σ = 202176000. Its totient is φ = 17760128.

The previous prime is 66996101. The next prime is 66996131. The reversal of 66996120 is 2169966.

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, 19921 + ... + 23039.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 266996120 is an apocalyptic number.

66996120 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 66996120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088000).

66996120 is an abundant number, since it is smaller than the sum of its proper divisors (135179880).

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

66996120 is a wasteful number, since it uses less digits than its factorization.

66996120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 66996120 is about 8185.1157597190. The cubic root of 66996120 is about 406.1469696909.

The spelling of 66996120 in words is "sixty-six million, nine hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3119 3580 4296 5370 6238 7160 9357 10740 12476 15595 18714 21480 24952 31190 37428 46785 62380 74856 93570 124760 187140 374280 558301 1116602 1674903 2233204 2791505 3349806 4466408 5583010 6699612 8374515 11166020 13399224 16749030 22332040 33498060 66996120