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23257440 = 2532531521
BaseRepresentation
bin101100010111…
…0000101100000
31121202121012200
41120232011200
521423214230
62150253200
7401453643
oct130560540
947677180
1023257440
1112145728
127957200
134a83ccb
143135a5a
152096160
hex162e160

23257440 has 144 divisors (see below), whose sum is σ = 82083456. Its totient is φ = 5990400.

The previous prime is 23257397. The next prime is 23257441. The reversal of 23257440 is 4475232.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23257441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44380 + ... + 44900.

It is an arithmetic number, because the mean of its divisors is an integer number (570024).

Almost surely, 223257440 is an apocalyptic number.

23257440 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 23257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41041728).

23257440 is an abundant number, since it is smaller than the sum of its proper divisors (58826016).

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

23257440 is a wasteful number, since it uses less digits than its factorization.

23257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

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

The square root of 23257440 is about 4822.5968108479. The cubic root of 23257440 is about 285.4438145156.

The spelling of 23257440 in words is "twenty-three million, two hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 521 558 620 720 744 930 992 1042 1116 1240 1395 1440 1488 1563 1860 2084 2232 2480 2605 2790 2976 3126 3720 4168 4464 4689 4960 5210 5580 6252 7440 7815 8336 8928 9378 10420 11160 12504 14880 15630 16151 16672 18756 20840 22320 23445 25008 31260 32302 37512 41680 44640 46890 48453 50016 62520 64604 75024 80755 83360 93780 96906 125040 129208 145359 150048 161510 187560 193812 242265 250080 258416 290718 323020 375120 387624 484530 516832 581436 646040 726795 750240 775248 969060 1162872 1292080 1453590 1550496 1938120 2325744 2584160 2907180 3876240 4651488 5814360 7752480 11628720 23257440