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67113930 = 23513374651
BaseRepresentation
bin1000000000000…
…01001111001010
311200021202000010
410000001033022
5114140121210
610354252350
71443313302
oct400011712
9150252003
1067113930
113497a764
121a5870b6
1310b9acb0
148cb0602
155d5a920
hex40013ca

67113930 has 64 divisors (see below), whose sum is σ = 178190208. Its totient is φ = 16070400.

The previous prime is 67113929. The next prime is 67113941. The reversal of 67113930 is 3931176.

It is a super-3 number, since 3×671139303 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12105 + ... + 16755.

It is an arithmetic number, because the mean of its divisors is an integer number (2784222).

Almost surely, 267113930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67113930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89095104).

67113930 is an abundant number, since it is smaller than the sum of its proper divisors (111076278).

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

67113930 is a wasteful number, since it uses less digits than its factorization.

67113930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 67113930 is about 8192.3091982664. The cubic root of 67113930 is about 406.3848946906.

The spelling of 67113930 in words is "sixty-seven million, one hundred thirteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 481 555 962 1110 1443 2405 2886 4651 4810 7215 9302 13953 14430 23255 27906 46510 60463 69765 120926 139530 172087 181389 302315 344174 362778 516261 604630 860435 906945 1032522 1720870 1813890 2237131 2581305 4474262 5162610 6711393 11185655 13422786 22371310 33556965 67113930