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66997040 = 24511194007
BaseRepresentation
bin1111111110010…
…0101100110000
311200001210122212
43333210230300
5114122401130
610351551252
71442315435
oct377445460
9150053585
1066997040
11348aa960
121a52b528
1310b59a26
148c7db8c
155d35e95
hex3fe4b30

66997040 has 80 divisors (see below), whose sum is σ = 178917120. Its totient is φ = 23074560.

The previous prime is 66997033. The next prime is 66997061. The reversal of 66997040 is 4079966.

It is a tau number, because it is divible by the number of its divisors (80).

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, 14717 + ... + 18723.

It is an arithmetic number, because the mean of its divisors is an integer number (2236464).

Almost surely, 266997040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66997040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89458560).

66997040 is an abundant number, since it is smaller than the sum of its proper divisors (111920080).

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

66997040 is a wasteful number, since it uses less digits than its factorization.

66997040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 66997040 is about 8185.1719590977. The cubic root of 66997040 is about 406.1488287712.

The spelling of 66997040 in words is "sixty-six million, nine hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4007 4180 8014 8360 16028 16720 20035 32056 40070 44077 64112 76133 80140 88154 152266 160280 176308 220385 304532 320560 352616 380665 440770 609064 705232 761330 837463 881540 1218128 1522660 1674926 1763080 3045320 3349852 3526160 4187315 6090640 6699704 8374630 13399408 16749260 33498520 66997040