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23821920 = 2532571233
BaseRepresentation
bin101101011011…
…1111001100000
31122211021112100
41122313321200
522044300140
62210330400
7406324443
oct132677140
948737470
1023821920
11124a0841
127b89a00
134c20c15
14324165a
152158530
hex16b7e60

23821920 has 144 divisors (see below), whose sum is σ = 82791072. Its totient is φ = 6236160.

The previous prime is 23821909. The next prime is 23821921. The reversal of 23821920 is 2912832.

It is a happy number.

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 (23821921) 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, 102124 + ... + 102356.

It is an arithmetic number, because the mean of its divisors is an integer number (574938).

Almost surely, 223821920 is an apocalyptic number.

23821920 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 23821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41395536).

23821920 is an abundant number, since it is smaller than the sum of its proper divisors (58969152).

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

23821920 is a wasteful number, since it uses less digits than its factorization.

23821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23821920 is about 4880.7704309873. The cubic root of 23821920 is about 287.7347094069.

The spelling of 23821920 in words is "twenty-three million, eight hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 71 72 80 90 96 120 142 144 160 180 213 233 240 284 288 355 360 426 466 480 568 639 699 710 720 852 932 1065 1136 1165 1278 1398 1420 1440 1704 1864 2097 2130 2272 2330 2556 2796 2840 3195 3408 3495 3728 4194 4260 4660 5112 5592 5680 6390 6816 6990 7456 8388 8520 9320 10224 10485 11184 11360 12780 13980 16543 16776 17040 18640 20448 20970 22368 25560 27960 33086 33552 34080 37280 41940 49629 51120 55920 66172 67104 82715 83880 99258 102240 111840 132344 148887 165430 167760 198516 248145 264688 297774 330860 335520 397032 496290 529376 595548 661720 744435 794064 992580 1191096 1323440 1488870 1588128 1985160 2382192 2646880 2977740 3970320 4764384 5955480 7940640 11910960 23821920