Search a number
-
+
67054040 = 23519831063
BaseRepresentation
bin1111111111001…
…0100111011000
311200011200211222
43333302213120
5114131212130
610353111212
71442643554
oct377624730
9150150758
1067054040
1134939769
121a558508
1310b79961
148c96864
155d47ce5
hex3ff29d8

67054040 has 64 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 25080192.

The previous prime is 67054037. The next prime is 67054051. The reversal of 67054040 is 4045076.

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 15 ways as a sum of consecutive naturals, for example, 62549 + ... + 63611.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 267054040 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 67054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

67054040 is an abundant number, since it is smaller than the sum of its proper divisors (93822760).

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

67054040 is a wasteful number, since it uses less digits than its factorization.

67054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 67054040 is about 8188.6531249040. The cubic root of 67054040 is about 406.2639777439.

The spelling of 67054040 in words is "sixty-seven million, fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 83 95 152 166 190 332 380 415 664 760 830 1063 1577 1660 2126 3154 3320 4252 5315 6308 7885 8504 10630 12616 15770 20197 21260 31540 40394 42520 63080 80788 88229 100985 161576 176458 201970 352916 403940 441145 705832 807880 882290 1676351 1764580 3352702 3529160 6705404 8381755 13410808 16763510 33527020 67054040