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67530240 = 29335977
BaseRepresentation
bin1000000011001…
…10111000000000
311201001220002000
410001212320000
5114241431430
610411224000
71446666111
oct401467000
9151056060
1067530240
1135134518
121a748000
1310cb562b
148d7c208
155ddde60
hex4066e00

67530240 has 160 divisors (see below), whose sum is σ = 240118560. Its totient is φ = 17989632.

The previous prime is 67530191. The next prime is 67530257. The reversal of 67530240 is 4203576.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68632 + ... + 69608.

It is an arithmetic number, because the mean of its divisors is an integer number (1500741).

Almost surely, 267530240 is an apocalyptic number.

67530240 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 67530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120059280).

67530240 is an abundant number, since it is smaller than the sum of its proper divisors (172588320).

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

67530240 is an equidigital number, since it uses as much as digits as its factorization.

67530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 67530240 is about 8217.6785042979. The cubic root of 67530240 is about 407.2234363662.

The spelling of 67530240 in words is "sixty-seven million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 977 1080 1152 1280 1440 1536 1728 1920 1954 2160 2304 2560 2880 2931 3456 3840 3908 4320 4608 4885 5760 5862 6912 7680 7816 8640 8793 9770 11520 11724 13824 14655 15632 17280 17586 19540 23040 23448 26379 29310 31264 34560 35172 39080 43965 46896 52758 58620 62528 69120 70344 78160 87930 93792 105516 117240 125056 131895 140688 156320 175860 187584 211032 234480 250112 263790 281376 312640 351720 375168 422064 468960 500224 527580 562752 625280 703440 750336 844128 937920 1055160 1125504 1250560 1406880 1500672 1688256 1875840 2110320 2251008 2501120 2813760 3376512 3751680 4220640 4502016 5627520 6753024 7503360 8441280 11255040 13506048 16882560 22510080 33765120 67530240