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42723240 = 23357181281
BaseRepresentation
bin1010001011111…
…0011110101000
32222101120021020
42202332132220
541414120430
64123412440
71026066360
oct242763650
988346236
1042723240
112213066a
1212384120
138b0b231
1459619a0
153b3db10
hex28be7a8

42723240 has 128 divisors (see below), whose sum is σ = 147813120. Its totient is φ = 9676800.

The previous prime is 42723223. The next prime is 42723251. The reversal of 42723240 is 4232724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42723240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151900 + ... + 152180.

It is an arithmetic number, because the mean of its divisors is an integer number (1154790).

Almost surely, 242723240 is an apocalyptic number.

42723240 is a gapful number since it is divisible by the number (40) 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 42723240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73906560).

42723240 is an abundant number, since it is smaller than the sum of its proper divisors (105089880).

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

42723240 is a wasteful number, since it uses less digits than its factorization.

42723240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42723240 is about 6536.3017066228. The cubic root of 42723240 is about 349.5865594311.

Adding to 42723240 its reverse (4232724), we get a palindrome (46955964).

The spelling of 42723240 in words is "forty-two million, seven hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 181 210 280 281 362 420 543 562 724 840 843 905 1086 1124 1267 1405 1448 1686 1810 1967 2172 2248 2534 2715 2810 3372 3620 3801 3934 4215 4344 5068 5430 5620 5901 6335 6744 7240 7602 7868 8430 9835 10136 10860 11240 11802 12670 15204 15736 16860 19005 19670 21720 23604 25340 29505 30408 33720 38010 39340 47208 50680 50861 59010 76020 78680 101722 118020 152040 152583 203444 236040 254305 305166 356027 406888 508610 610332 712054 762915 1017220 1068081 1220664 1424108 1525830 1780135 2034440 2136162 2848216 3051660 3560270 4272324 5340405 6103320 7120540 8544648 10680810 14241080 21361620 42723240