Search a number
-
+
67012880 = 24511271281
BaseRepresentation
bin1111111110100…
…0100100010000
311200002121101112
43333220210100
5114123403010
610352152452
71442412554
oct377504420
9150077345
1067012880
1134910850
121a538728
1310b63cbc
148c85864
155d3aa05
hex3fe8910

67012880 has 80 divisors (see below), whose sum is σ = 171203328. Its totient is φ = 24192000.

The previous prime is 67012879. The next prime is 67012903. The reversal of 67012880 is 8821076.

67012880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×670128803 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238340 + ... + 238620.

Almost surely, 267012880 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 67012880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85601664).

67012880 is an abundant number, since it is smaller than the sum of its proper divisors (104190448).

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

67012880 is a wasteful number, since it uses less digits than its factorization.

67012880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 67012880 is about 8186.1395052857. The cubic root of 67012880 is about 406.1808346156.

The spelling of 67012880 in words is "sixty-seven million, twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 271 281 440 542 562 880 1084 1124 1355 1405 2168 2248 2710 2810 2981 3091 4336 4496 5420 5620 5962 6182 10840 11240 11924 12364 14905 15455 21680 22480 23848 24728 29810 30910 47696 49456 59620 61820 76151 119240 123640 152302 238480 247280 304604 380755 609208 761510 837661 1218416 1523020 1675322 3046040 3350644 4188305 6092080 6701288 8376610 13402576 16753220 33506440 67012880