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23725440 = 273351373
BaseRepresentation
bin101101010000…
…0010110000000
31122122101012000
41122200112000
522033203230
62204304000
7405443244
oct132402600
948571160
1023725440
1112435302
127b42000
134bb902b
143218424
152139b60
hex16a0580

23725440 has 128 divisors (see below), whose sum is σ = 84088800. Its totient is φ = 6322176.

The previous prime is 23725439. The next prime is 23725441. The reversal of 23725440 is 4452732.

It is an interprime number because it is at equal distance from previous prime (23725439) and next prime (23725441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23725441) 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, 16594 + ... + 17966.

Almost surely, 223725440 is an apocalyptic number.

23725440 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 23725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42044400).

23725440 is an abundant number, since it is smaller than the sum of its proper divisors (60363360).

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

23725440 is a wasteful number, since it uses less digits than its factorization.

23725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 23725440 is about 4870.8767177994. The cubic root of 23725440 is about 287.3457370282.

The spelling of 23725440 in words is "twenty-three million, seven hundred twenty-five thousand, four 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 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1373 1440 1728 1920 2160 2746 2880 3456 4119 4320 5492 5760 6865 8238 8640 10984 12357 13730 16476 17280 20595 21968 24714 27460 32952 37071 41190 43936 49428 54920 61785 65904 74142 82380 87872 98856 109840 123570 131808 148284 164760 175744 185355 197712 219680 247140 263616 296568 329520 370710 395424 439360 494280 527232 593136 659040 741420 790848 878720 988560 1186272 1318080 1482840 1581696 1977120 2372544 2636160 2965680 3954240 4745088 5931360 7908480 11862720 23725440