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67028040 = 23335531171
BaseRepresentation
bin1111111110110…
…0010001001000
311200010101012000
43333230101020
5114124344130
610352351000
71442505012
oct377542110
9150111160
1067028040
1134921182
121a545460
1310b6ab81
148c8b1b2
155d40260
hex3fec448

67028040 has 128 divisors (see below), whose sum is σ = 227836800. Its totient is φ = 17521920.

The previous prime is 67028023. The next prime is 67028041. The reversal of 67028040 is 4082076.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 67027995 and 67028013.

It is not an unprimeable number, because it can be changed into a prime (67028041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56655 + ... + 57825.

It is an arithmetic number, because the mean of its divisors is an integer number (1779975).

Almost surely, 267028040 is an apocalyptic number.

67028040 is a gapful number since it is divisible by the number (60) 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 67028040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113918400).

67028040 is an abundant number, since it is smaller than the sum of its proper divisors (160808760).

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

67028040 is a wasteful number, since it uses less digits than its factorization.

67028040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 67028040 is about 8187.0654083133. The cubic root of 67028040 is about 406.2114617486.

The spelling of 67028040 in words is "sixty-seven million, twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1171 1272 1431 1590 1908 2120 2342 2385 2862 3180 3513 3816 4684 4770 5724 5855 6360 7026 7155 9368 9540 10539 11448 11710 14052 14310 17565 19080 21078 23420 28104 28620 31617 35130 42156 46840 52695 57240 62063 63234 70260 84312 105390 124126 126468 140520 158085 186189 210780 248252 252936 310315 316170 372378 421560 496504 558567 620630 632340 744756 930945 1117134 1241260 1264680 1489512 1675701 1861890 2234268 2482520 2792835 3351402 3723780 4468536 5585670 6702804 7447560 8378505 11171340 13405608 16757010 22342680 33514020 67028040