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67794090 = 235713191307
BaseRepresentation
bin1000000101001…
…11010010101010
311201120022000020
410002213102222
5114323402330
610421021310
71452145260
oct402472252
9151508006
1067794090
11352a4781
121a854836
1311078760
14900a430
155e42210
hex40a74aa

67794090 has 128 divisors (see below), whose sum is σ = 210954240. Its totient is φ = 13540608.

The previous prime is 67794073. The next prime is 67794107. The reversal of 67794090 is 9049776.

It is an interprime number because it is at equal distance from previous prime (67794073) and next prime (67794107).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51217 + ... + 52523.

It is an arithmetic number, because the mean of its divisors is an integer number (1648080).

Almost surely, 267794090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67794090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105477120).

67794090 is an abundant number, since it is smaller than the sum of its proper divisors (143160150).

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

67794090 is a wasteful number, since it uses less digits than its factorization.

67794090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356.

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 67794090 is about 8233.7166577433. The cubic root of 67794090 is about 407.7531065865.

It can be divided in two parts, 677940 and 90, that added together give a triangular number (678030 = T1164).

The spelling of 67794090 in words is "sixty-seven million, seven hundred ninety-four thousand, ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1307 1330 1365 1482 1729 1995 2470 2614 2730 3458 3705 3921 3990 5187 6535 7410 7842 8645 9149 10374 13070 16991 17290 18298 19605 24833 25935 27447 33982 39210 45745 49666 50973 51870 54894 74499 84955 91490 101946 118937 124165 137235 148998 169910 173831 237874 248330 254865 274470 322829 347662 356811 372495 509730 521493 594685 645658 713622 744990 869155 968487 1042986 1189370 1614145 1738310 1784055 1936974 2259803 2607465 3228290 3568110 4519606 4842435 5214930 6779409 9684870 11299015 13558818 22598030 33897045 67794090