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23255120 = 2457131317
BaseRepresentation
bin101100010110…
…1100001010000
31121202111000202
41120231201100
521423130440
62150234332
7401444120
oct130554120
947674022
1023255120
1112143a09
1279559a8
134a82c35
143134c80
152095615
hex162d850

23255120 has 80 divisors (see below), whose sum is σ = 62460288. Its totient is φ = 7887360.

The previous prime is 23255119. The next prime is 23255123. The reversal of 23255120 is 2155232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23255092 and 23255101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23255123) 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, 73202 + ... + 73518.

Almost surely, 223255120 is an apocalyptic number.

23255120 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 23255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31230144).

23255120 is an abundant number, since it is smaller than the sum of its proper divisors (39205168).

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

23255120 is a wasteful number, since it uses less digits than its factorization.

23255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 23255120 is about 4822.3562705383. The cubic root of 23255120 is about 285.4343229053.

The spelling of 23255120 in words is "twenty-three million, two hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 317 524 560 634 655 917 1048 1268 1310 1585 1834 2096 2219 2536 2620 3170 3668 4438 4585 5072 5240 6340 7336 8876 9170 10480 11095 12680 14672 17752 18340 22190 25360 35504 36680 41527 44380 73360 83054 88760 166108 177520 207635 290689 332216 415270 581378 664432 830540 1162756 1453445 1661080 2325512 2906890 3322160 4651024 5813780 11627560 23255120