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67440240 = 24325713381
BaseRepresentation
bin1000000010100…
…00111001110000
311200220022121200
410001100321300
5114231041430
610405251200
71446142530
oct401207160
9150808550
1067440240
113508293a
121a703b00
1310c8368a
148d574c0
155dc2460
hex4050e70

67440240 has 120 divisors (see below), whose sum is σ = 258861408. Its totient is φ = 15413760.

The previous prime is 67440229. The next prime is 67440259. The reversal of 67440240 is 4204476.

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

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, 1651 + ... + 11730.

Almost surely, 267440240 is an apocalyptic number.

67440240 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 67440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129430704).

67440240 is an abundant number, since it is smaller than the sum of its proper divisors (191421168).

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

67440240 is a wasteful number, since it uses less digits than its factorization.

67440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13407 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 67440240 is about 8212.2006794768. The cubic root of 67440240 is about 407.0424487919.

The spelling of 67440240 in words is "sixty-seven million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 13381 26762 40143 53524 66905 80286 93667 107048 120429 133810 160572 187334 200715 214096 240858 267620 281001 321144 374668 401430 468335 481716 535240 562002 602145 642288 749336 802860 843003 936670 963432 1070480 1124004 1204290 1405005 1498672 1605720 1686006 1873340 1926864 2248008 2408580 2810010 3211440 3372012 3746680 4215015 4496016 4817160 5620020 6744024 7493360 8430030 9634320 11240040 13488048 16860060 22480080 33720120 67440240