Search a number
-
+
67390272 = 263359661
BaseRepresentation
bin1000000010001…
…00101101000000
311200210210002000
410001010231000
5114222442042
610404224000
71445544045
oct401045500
9150723060
1067390272
1135049344
121a69b000
1310c66a01
148d431cc
155db274c
hex4044b40

67390272 has 112 divisors (see below), whose sum is σ = 201777600. Its totient is φ = 22049280.

The previous prime is 67390259. The next prime is 67390277. The reversal of 67390272 is 27209376.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67390277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101622 + ... + 102282.

Almost surely, 267390272 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 67390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100888800).

67390272 is an abundant number, since it is smaller than the sum of its proper divisors (134387328).

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

67390272 is a wasteful number, since it uses less digits than its factorization.

67390272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 67390272 is about 8209.1578130768. The cubic root of 67390272 is about 406.9418949664.

The spelling of 67390272 in words is "sixty-seven million, three hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 354 432 472 531 576 661 708 864 944 1062 1322 1416 1593 1728 1888 1983 2124 2644 2832 3186 3776 3966 4248 5288 5664 5949 6372 7932 8496 10576 11328 11898 12744 15864 16992 17847 21152 23796 25488 31728 33984 35694 38999 42304 47592 50976 63456 71388 77998 95184 101952 116997 126912 142776 155996 190368 233994 285552 311992 350991 380736 467988 571104 623984 701982 935976 1052973 1142208 1247968 1403964 1871952 2105946 2495936 2807928 3743904 4211892 5615856 7487808 8423784 11231712 16847568 22463424 33695136 67390272