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66950520 = 23357136131
BaseRepresentation
bin1111111101100…
…1010101111000
311122222102211220
43333121111320
5114114404040
610350552040
71442033010
oct377312570
9148872756
1066950520
1134878a0a
121a508620
1310b417c0
148c6ac40
155d272d0
hex3fd9578

66950520 has 128 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 14123520.

The previous prime is 66950519. The next prime is 66950537. The reversal of 66950520 is 2505966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7855 + ... + 13985.

It is an arithmetic number, because the mean of its divisors is an integer number (1931580).

Almost surely, 266950520 is an apocalyptic number.

66950520 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 66950520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

66950520 is an abundant number, since it is smaller than the sum of its proper divisors (180291720).

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

66950520 is a wasteful number, since it uses less digits than its factorization.

66950520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 66950520 is about 8182.3297415834. The cubic root of 66950520 is about 406.0548026357.

The spelling of 66950520 in words is "sixty-six million, nine hundred fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 6131 10920 12262 18393 24524 30655 36786 42917 49048 61310 73572 79703 85834 91965 122620 128751 147144 159406 171668 183930 214585 239109 245240 257502 318812 343336 367860 398515 429170 478218 515004 557921 637624 643755 735720 797030 858340 956436 1030008 1115842 1195545 1287510 1594060 1673763 1716680 1912872 2231684 2391090 2575020 2789605 3188120 3347526 4463368 4782180 5150040 5579210 6695052 8368815 9564360 11158420 13390104 16737630 22316840 33475260 66950520