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67966740 = 22325377593
BaseRepresentation
bin1000000110100…
…01011100010100
311201220001211200
410003101130110
5114344413430
610424432500
71453464522
oct403213424
9151801750
1067966740
1135402466
121a918730
131110920a
149053312
155e78460
hex40d1714

67966740 has 36 divisors (see below), whose sum is σ = 206166324. Its totient is φ = 18124416.

The previous prime is 67966739. The next prime is 67966753. The reversal of 67966740 is 4766976.

It can be written as a sum of positive squares in 2 ways, for example, as 7033104 + 60933636 = 2652^2 + 7806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188617 + ... + 188976.

Almost surely, 267966740 is an apocalyptic number.

67966740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67966740 is an abundant number, since it is smaller than the sum of its proper divisors (138199584).

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

67966740 is a wasteful number, since it uses less digits than its factorization.

67966740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377608 (or 377603 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 67966740 is about 8244.1943208539. The cubic root of 67966740 is about 408.0989523544.

The spelling of 67966740 in words is "sixty-seven million, nine hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 377593 755186 1132779 1510372 1887965 2265558 3398337 3775930 4531116 5663895 6796674 7551860 11327790 13593348 16991685 22655580 33983370 67966740