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23427040 = 2557131609
BaseRepresentation
bin101100101011…
…1011111100000
31122002012212011
41121113133200
521444131130
62154042304
7403061260
oct131273740
948065764
1023427040
111225109a
127a19394
134b13270
14317b7a0
1520cb52a
hex16577e0

23427040 has 96 divisors (see below), whose sum is σ = 68160960. Its totient is φ = 7409664.

The previous prime is 23427029. The next prime is 23427049. The reversal of 23427040 is 4072432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23427049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13756 + ... + 15364.

It is an arithmetic number, because the mean of its divisors is an integer number (710010).

Almost surely, 223427040 is an apocalyptic number.

23427040 is a gapful number since it is divisible by the number (20) 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 23427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34080480).

23427040 is an abundant number, since it is smaller than the sum of its proper divisors (44733920).

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

23427040 is a wasteful number, since it uses less digits than its factorization.

23427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 23427040 is about 4840.1487580445. The cubic root of 23427040 is about 286.1359811088.

Adding to 23427040 its reverse (4072432), we get a palindrome (27499472).

The spelling of 23427040 in words is "twenty-three million, four hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1609 1820 2080 2912 3218 3640 6436 7280 8045 11263 12872 14560 16090 20917 22526 25744 32180 41834 45052 51488 56315 64360 83668 90104 104585 112630 128720 146419 167336 180208 209170 225260 257440 292838 334672 360416 418340 450520 585676 669344 732095 836680 901040 1171352 1464190 1673360 1802080 2342704 2928380 3346720 4685408 5856760 11713520 23427040