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67385540 = 22522914713
BaseRepresentation
bin1000000010000…
…11100011000100
311200210112120202
410001003203010
5114222314130
610404150032
71445524205
oct401034304
9150715522
1067385540
1135045832
121a698318
1310c64801
148d415ac
155db1145
hex40438c4

67385540 has 24 divisors (see below), whose sum is σ = 142137240. Its totient is φ = 26834688.

The previous prime is 67385503. The next prime is 67385543. The reversal of 67385540 is 4558376.

It can be written as a sum of positive squares in 4 ways, for example, as 28472896 + 38912644 = 5336^2 + 6238^2 .

It is a super-2 number, since 2×673855402 = 9081622002183200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67385494 and 67385503.

It is not an unprimeable number, because it can be changed into a prime (67385543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2777 + ... + 11936.

It is an arithmetic number, because the mean of its divisors is an integer number (5922385).

Almost surely, 267385540 is an apocalyptic number.

It is an amenable number.

67385540 is an abundant number, since it is smaller than the sum of its proper divisors (74751700).

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

67385540 is a wasteful number, since it uses less digits than its factorization.

67385540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14951 (or 14949 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 67385540 is about 8208.8695933119. The cubic root of 67385540 is about 406.9323698818.

The spelling of 67385540 in words is "sixty-seven million, three hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 14713 29426 58852 73565 147130 294260 3369277 6738554 13477108 16846385 33692770 67385540