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23255040 = 21135757
BaseRepresentation
bin101100010110…
…1100000000000
31121202110220210
41120231200000
521423130130
62150234120
7401443644
oct130554000
947673823
1023255040
1112143946
127955940
134a82ba3
143134c24
1520955b0
hex162d800

23255040 has 96 divisors (see below), whose sum is σ = 74496240. Its totient is φ = 6193152.

The previous prime is 23255021. The next prime is 23255087. The reversal of 23255040 is 4055232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 23254998 and 23255016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30342 + ... + 31098.

Almost surely, 223255040 is an apocalyptic number.

23255040 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 23255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37248120).

23255040 is an abundant number, since it is smaller than the sum of its proper divisors (51241200).

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

23255040 is an equidigital number, since it uses as much as digits as its factorization.

23255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 23255040 is about 4822.3479758309. The cubic root of 23255040 is about 285.4339955972.

The spelling of 23255040 in words is "twenty-three million, two hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 757 768 960 1024 1280 1514 1536 1920 2048 2271 2560 3028 3072 3785 3840 4542 5120 6056 6144 7570 7680 9084 10240 11355 12112 15140 15360 18168 22710 24224 30280 30720 36336 45420 48448 60560 72672 90840 96896 121120 145344 181680 193792 242240 290688 363360 387584 484480 581376 726720 775168 968960 1162752 1453440 1550336 1937920 2325504 2906880 3875840 4651008 5813760 7751680 11627520 23255040