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67720248 = 23321761907
BaseRepresentation
bin1000000100101…
…01010000111000
311201102112201100
410002111100320
5114314021443
610415251400
71451420061
oct402252070
9151375640
1067720248
1135254252
121a819b60
1311050c6b
148dcb568
155e2a3d3
hex4095438

67720248 has 96 divisors (see below), whose sum is σ = 197598960. Its totient is φ = 20874240.

The previous prime is 67720243. The next prime is 67720321. The reversal of 67720248 is 84202776.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (67720243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74211 + ... + 75117.

Almost surely, 267720248 is an apocalyptic number.

67720248 is a gapful number since it is divisible by the number (68) 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 67720248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98799480).

67720248 is an abundant number, since it is smaller than the sum of its proper divisors (129878712).

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

67720248 is a wasteful number, since it uses less digits than its factorization.

67720248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 67720248 is about 8229.2313128262. The cubic root of 67720248 is about 407.6050098852.

The spelling of 67720248 in words is "sixty-seven million, seven hundred twenty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 61 68 72 102 122 136 153 183 204 244 306 366 408 488 549 612 732 907 1037 1098 1224 1464 1814 2074 2196 2721 3111 3628 4148 4392 5442 6222 7256 8163 8296 9333 10884 12444 15419 16326 18666 21768 24888 30838 32652 37332 46257 55327 61676 65304 74664 92514 110654 123352 138771 165981 185028 221308 277542 331962 370056 442616 497943 555084 663924 940559 995886 1110168 1327848 1881118 1991772 2821677 3762236 3983544 5643354 7524472 8465031 11286708 16930062 22573416 33860124 67720248