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67465440 = 2533572397
BaseRepresentation
bin1000000010101…
…11000011100000
311200221121012000
410001113003200
5114232343230
610410004000
71446306150
oct401270340
9150847160
1067465440
113509a869
121a716600
1310c91ca3
148d62760
155dc9b60
hex40570e0

67465440 has 384 divisors, whose sum is σ = 284497920. Its totient is φ = 14598144.

The previous prime is 67465439. The next prime is 67465477. The reversal of 67465440 is 4456476.

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 = 67465395 and 67465404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695472 + ... + 695568.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 267465440 is an apocalyptic number.

67465440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

67465440 is an abundant number, since it is smaller than the sum of its proper divisors (217032480).

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

67465440 is a wasteful number, since it uses less digits than its factorization.

67465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 67465440 is about 8213.7348386711. The cubic root of 67465440 is about 407.0931415354.

The spelling of 67465440 in words is "sixty-seven million, four hundred sixty-five thousand, four hundred forty".