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67989150 = 23252236569
BaseRepresentation
bin1000000110101…
…10111010011110
311201221012120200
410003112322132
5114401123100
610425124330
71453620045
oct403267236
9151835520
1067989150
1135418289
121a9296a6
1311116488
14905b55c
155e7ee00
hex40d6e9e

67989150 has 72 divisors (see below), whose sum is σ = 190635120. Its totient is φ = 17339520.

The previous prime is 67989139. The next prime is 67989151. The reversal of 67989150 is 5198976.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67989096 and 67989105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67989151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7066 + ... + 13634.

It is an arithmetic number, because the mean of its divisors is an integer number (2647710).

Almost surely, 267989150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67989150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95317560).

67989150 is an abundant number, since it is smaller than the sum of its proper divisors (122645970).

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

67989150 is a wasteful number, since it uses less digits than its factorization.

67989150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6610 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 67989150 is about 8245.5533471078. The cubic root of 67989150 is about 408.1438002342.

The spelling of 67989150 in words is "sixty-seven million, nine hundred eighty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 6569 10350 13138 19707 32845 39414 59121 65690 98535 118242 151087 164225 197070 295605 302174 328450 453261 492675 591210 755435 906522 985350 1359783 1478025 1510870 2266305 2719566 2956050 3777175 4532610 6798915 7554350 11331525 13597830 22663050 33994575 67989150