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68493240 = 23325613119
BaseRepresentation
bin1000001010100…
…01111110111000
311202212211001200
410011101332320
5120013240430
610444014200
71461116514
oct405217670
9152784050
1068493240
1135731a92
121ab31360
1311261a5a
14914d144
15602e460
hex4151fb8

68493240 has 96 divisors (see below), whose sum is σ = 226324800. Its totient is φ = 17959680.

The previous prime is 68493197. The next prime is 68493263. The reversal of 68493240 is 4239486.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 68493195 and 68493204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20401 + ... + 23519.

It is an arithmetic number, because the mean of its divisors is an integer number (2357550).

Almost surely, 268493240 is an apocalyptic number.

68493240 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 68493240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113162400).

68493240 is an abundant number, since it is smaller than the sum of its proper divisors (157831560).

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

68493240 is a wasteful number, since it uses less digits than its factorization.

68493240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68493240 is about 8276.0642820123. The cubic root of 68493240 is about 409.1500138171.

The spelling of 68493240 in words is "sixty-eight million, four hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3119 3660 4392 5490 6238 7320 9357 10980 12476 15595 18714 21960 24952 28071 31190 37428 46785 56142 62380 74856 93570 112284 124760 140355 187140 190259 224568 280710 374280 380518 561420 570777 761036 951295 1122840 1141554 1522072 1712331 1902590 2283108 2853885 3424662 3805180 4566216 5707770 6849324 7610360 8561655 11415540 13698648 17123310 22831080 34246620 68493240