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67404096 = 2633192053
BaseRepresentation
bin1000000010010…
…00000101000000
311200211111001000
410001020011000
5114223412341
610404412000
71445632254
oct401100500
9150744030
1067404096
1135058771
121a6a7000
1310c700a6
148d48264
155db68b6
hex4048140

67404096 has 112 divisors (see below), whose sum is σ = 208686400. Its totient is φ = 21275136.

The previous prime is 67404083. The next prime is 67404097. The reversal of 67404096 is 69040476.

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

It is a self number, because there is not a number n which added to its sum of digits gives 67404096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67404097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31806 + ... + 33858.

Almost surely, 267404096 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 67404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104343200).

67404096 is an abundant number, since it is smaller than the sum of its proper divisors (141282304).

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

67404096 is a wasteful number, since it uses less digits than its factorization.

67404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 67404096 is about 8209.9997563946. Note that the first 3 decimals coincide. The cubic root of 67404096 is about 406.9697188643.

The spelling of 67404096 in words is "sixty-seven million, four hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2053 2736 3648 4104 4106 5472 6159 8208 8212 10944 12318 16416 16424 18477 24636 32832 32848 36954 39007 49272 55431 65696 73908 78014 98544 110862 117021 131392 147816 156028 197088 221724 234042 295632 312056 351063 394176 443448 468084 591264 624112 702126 886896 936168 1053189 1182528 1248224 1404252 1773792 1872336 2106378 2496448 2808504 3547584 3744672 4212756 5617008 7489344 8425512 11234016 16851024 22468032 33702048 67404096