Search a number
-
+
67141032 = 23372913781
BaseRepresentation
bin1000000000001…
…11110110101000
311200100010011220
410000013312220
5114142003112
610355022040
71443455310
oct400076650
9150303156
1067141032
1134999062
121a59a920
1310baa42a
148cba440
155d6398c
hex4007da8

67141032 has 64 divisors (see below), whose sum is σ = 198460800. Its totient is φ = 18520320.

The previous prime is 67141027. The next prime is 67141043. The reversal of 67141032 is 23014176.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 67140993 and 67141011.

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, 2019 + ... + 11762.

It is an arithmetic number, because the mean of its divisors is an integer number (3100950).

Almost surely, 267141032 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 67141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99230400).

67141032 is an abundant number, since it is smaller than the sum of its proper divisors (131319768).

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

67141032 is a wasteful number, since it uses less digits than its factorization.

67141032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13826 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 67141032 is about 8193.9631436808. The cubic root of 67141032 is about 406.4395895516.

The spelling of 67141032 in words is "sixty-seven million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 13781 27562 41343 55124 82686 96467 110248 165372 192934 289401 330744 385868 399649 578802 771736 799298 1157604 1198947 1598596 2315208 2397894 2797543 3197192 4795788 5595086 8392629 9591576 11190172 16785258 22380344 33570516 67141032