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67204080 = 243553457
BaseRepresentation
bin1000000000101…
…11001111110000
311200110022200000
410000113033300
5114201012310
610400230000
71444140156
oct400271760
9150408600
1067204080
1134a31469
121a60b300
1310c00038
148cd53d6
155d774c0
hex40173f0

67204080 has 120 divisors (see below), whose sum is σ = 234120432. Its totient is φ = 17915904.

The previous prime is 67204079. The next prime is 67204103. The reversal of 67204080 is 8040276.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 17712 + ... + 21168.

Almost surely, 267204080 is an apocalyptic number.

67204080 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 67204080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117060216).

67204080 is an abundant number, since it is smaller than the sum of its proper divisors (166916352).

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

67204080 is a wasteful number, since it uses less digits than its factorization.

67204080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3467 counting only the distinct ones).

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

The square root of 67204080 is about 8197.8094635091. The cubic root of 67204080 is about 406.5667705299.

The spelling of 67204080 in words is "sixty-seven million, two hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3457 3888 4860 6480 6914 9720 10371 13828 17285 19440 20742 27656 31113 34570 41484 51855 55312 62226 69140 82968 93339 103710 124452 138280 155565 165936 186678 207420 248904 276560 280017 311130 373356 414840 466695 497808 560034 622260 746712 829680 840051 933390 1120068 1244520 1400085 1493424 1680102 1866780 2240136 2489040 2800170 3360204 3733560 4200255 4480272 5600340 6720408 7467120 8400510 11200680 13440816 16801020 22401360 33602040 67204080