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67630672 = 2423374967
BaseRepresentation
bin1000000011111…
…11011001010000
311201020222211201
410001333121100
5114303140142
610413320544
71450564654
oct401773120
9151228751
1067630672
11351a2a1a
121a796154
131101c265
148da6a64
155e0dab7
hex407f650

67630672 has 40 divisors (see below), whose sum is σ = 140455296. Its totient is φ = 31464576.

The previous prime is 67630669. The next prime is 67630679. The reversal of 67630672 is 27603676.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67630679) 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, 11133 + ... + 16099.

Almost surely, 267630672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67630672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70227648).

67630672 is an abundant number, since it is smaller than the sum of its proper divisors (72824624).

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

67630672 is a wasteful number, since it uses less digits than its factorization.

67630672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The square root of 67630672 is about 8223.7869622212. The cubic root of 67630672 is about 407.4252126670.

The spelling of 67630672 in words is "sixty-seven million, six hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 592 851 1702 3404 4967 6808 9934 13616 19868 39736 79472 114241 183779 228482 367558 456964 735116 913928 1470232 1827856 2940464 4226917 8453834 16907668 33815336 67630672