Search a number
-
+
67241440 = 255760037
BaseRepresentation
bin1000000001000…
…00010111100000
311200112012220201
410000200113200
5114203211230
610401114544
71444354120
oct400402740
9150465821
1067241440
1134a57542
121a628a54
1310c14046
148d04c80
155d835ca
hex40205e0

67241440 has 48 divisors (see below), whose sum is σ = 181554912. Its totient is φ = 23053824.

The previous prime is 67241423. The next prime is 67241453. The reversal of 67241440 is 4414276.

It is a super-2 number, since 2×672414402 = 9042822506547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 67241399 and 67241408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28899 + ... + 31138.

It is an arithmetic number, because the mean of its divisors is an integer number (3782394).

Almost surely, 267241440 is an apocalyptic number.

It is an amenable number.

67241440 is an abundant number, since it is smaller than the sum of its proper divisors (114313472).

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

67241440 is a wasteful number, since it uses less digits than its factorization.

67241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60059 (or 60051 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 67241440 is about 8200.0878044080. The cubic root of 67241440 is about 406.6420959206.

The spelling of 67241440 in words is "sixty-seven million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 60037 120074 240148 300185 420259 480296 600370 840518 960592 1200740 1681036 1921184 2101295 2401480 3362072 4202590 4802960 6724144 8405180 9605920 13448288 16810360 33620720 67241440