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67326480 = 24325137193
BaseRepresentation
bin1000000001101…
…01001000010000
311200200112120100
410000311020100
5114213421410
610403012400
71445160054
oct400651020
9150615510
1067326480
1135005421
121a66a100
1310c43970
148d27c64
155d9d8c0
hex4035210

67326480 has 120 divisors (see below), whose sum is σ = 243531288. Its totient is φ = 16570368.

The previous prime is 67326473. The next prime is 67326503. The reversal of 67326480 is 8462376.

67326480 is a `hidden beast` number, since 6 + 7 + 3 + 2 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 65999376 = 1152^2 + 8124^2 .

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5764 + ... + 12956.

Almost surely, 267326480 is an apocalyptic number.

67326480 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 67326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121765644).

67326480 is an abundant number, since it is smaller than the sum of its proper divisors (176204808).

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

67326480 is a wasteful number, since it uses less digits than its factorization.

67326480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7225 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 67326480 is about 8205.2714763133. The cubic root of 67326480 is about 406.8134499546.

The spelling of 67326480 in words is "sixty-seven million, three hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 7193 9360 14386 21579 28772 35965 43158 57544 64737 71930 86316 93509 107895 115088 129474 143860 172632 187018 215790 258948 280527 287720 323685 345264 374036 431580 467545 517896 561054 575440 647370 748072 841581 863160 935090 1035792 1122108 1294740 1402635 1496144 1683162 1726320 1870180 2244216 2589480 2805270 3366324 3740360 4207905 4488432 5178960 5610540 6732648 7480720 8415810 11221080 13465296 16831620 22442160 33663240 67326480