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67398480 = 243553467
BaseRepresentation
bin1000000010001…
…10101101010000
311200211012100000
410001012231100
5114223222410
610404330000
71445610012
oct401065520
9150735300
1067398480
1135054526
121a6a3900
1310c6a676
148d461b2
155db4dc0
hex4046b50

67398480 has 120 divisors (see below), whose sum is σ = 234797472. Its totient is φ = 17967744.

The previous prime is 67398469. The next prime is 67398493. The reversal of 67398480 is 8489376.

It is a happy number.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17707 + ... + 21173.

Almost surely, 267398480 is an apocalyptic number.

67398480 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 67398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117398736).

67398480 is an abundant number, since it is smaller than the sum of its proper divisors (167398992).

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

67398480 is a wasteful number, since it uses less digits than its factorization.

67398480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 67398480 is about 8209.6577273355. The cubic root of 67398480 is about 406.9584158646.

The spelling of 67398480 in words is "sixty-seven million, three hundred ninety-eight thousand, four hundred 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 3467 3888 4860 6480 6934 9720 10401 13868 17335 19440 20802 27736 31203 34670 41604 52005 55472 62406 69340 83208 93609 104010 124812 138680 156015 166416 187218 208020 249624 277360 280827 312030 374436 416040 468045 499248 561654 624060 748872 832080 842481 936090 1123308 1248120 1404135 1497744 1684962 1872180 2246616 2496240 2808270 3369924 3744360 4212405 4493232 5616540 6739848 7488720 8424810 11233080 13479696 16849620 22466160 33699240 67398480