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67642140 = 22351127369
BaseRepresentation
bin1000000100000…
…10001100011100
311201021120120110
410002002030130
5114304022030
610413450020
71450643256
oct402021434
9151246513
1067642140
11352005a5
121a7a0910
1311024547
148daacd6
155e121b0
hex408231c

67642140 has 24 divisors (see below), whose sum is σ = 189398160. Its totient is φ = 18037888.

The previous prime is 67642129. The next prime is 67642163. The reversal of 67642140 is 4124676.

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

It is a junction number, because it is equal to n+sod(n) for n = 67642098 and 67642107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563625 + ... + 563744.

It is an arithmetic number, because the mean of its divisors is an integer number (7891590).

Almost surely, 267642140 is an apocalyptic number.

67642140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67642140 is an abundant number, since it is smaller than the sum of its proper divisors (121756020).

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

67642140 is a wasteful number, since it uses less digits than its factorization.

67642140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127381 (or 1127379 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 67642140 is about 8224.4841783543. The cubic root of 67642140 is about 407.4482401294.

The spelling of 67642140 in words is "sixty-seven million, six hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1127369 2254738 3382107 4509476 5636845 6764214 11273690 13528428 16910535 22547380 33821070 67642140