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67941540 = 223252316411
BaseRepresentation
bin1000000110010…
…11010010100100
311201211210021100
410003023102210
5114343112130
610424120100
71453331202
oct403132244
9151753240
1067941540
1135395537
121a906030
13110ca8c4
149048072
155e70c60
hex40cb4a4

67941540 has 72 divisors (see below), whose sum is σ = 215062848. Its totient is φ = 17328960.

The previous prime is 67941529. The next prime is 67941541. The reversal of 67941540 is 4514976.

67941540 is a `hidden beast` number, since 6 + 79 + 41 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67941495 and 67941504.

It is not an unprimeable number, because it can be changed into a prime (67941541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4066 + ... + 12345.

It is an arithmetic number, because the mean of its divisors is an integer number (2986984).

Almost surely, 267941540 is an apocalyptic number.

67941540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67941540 is an abundant number, since it is smaller than the sum of its proper divisors (147121308).

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

67941540 is a wasteful number, since it uses less digits than its factorization.

67941540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16449 (or 16444 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 67941540 is about 8242.6658309069. The cubic root of 67941540 is about 408.0485092265.

The spelling of 67941540 in words is "sixty-seven million, nine hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 16411 32822 49233 65644 82055 98466 147699 164110 196932 246165 295398 328220 377453 492330 590796 738495 754906 984660 1132359 1476990 1509812 1887265 2264718 2953980 3397077 3774530 4529436 5661795 6794154 7549060 11323590 13588308 16985385 22647180 33970770 67941540