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23329920 = 273529419
BaseRepresentation
bin101100011111…
…1110010000000
31121220021122010
41120333302000
521433024140
62152012520
7402205155
oct130776200
947807563
1023329920
1112195129
127991140
134aaacb3
14315422c
1520ac880
hex163fc80

23329920 has 128 divisors (see below), whose sum is σ = 77112000. Its totient is φ = 5992448.

The previous prime is 23329909. The next prime is 23329937. The reversal of 23329920 is 2992332.

It is a happy number.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55471 + ... + 55889.

Almost surely, 223329920 is an apocalyptic number.

23329920 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 23329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556000).

23329920 is an abundant number, since it is smaller than the sum of its proper divisors (53782080).

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

23329920 is a wasteful number, since it uses less digits than its factorization.

23329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 23329920 is about 4830.1055889080. The cubic root of 23329920 is about 285.7400281568.

The spelling of 23329920 in words is "twenty-three million, three hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 419 435 464 480 580 640 696 838 870 928 960 1160 1257 1392 1676 1740 1856 1920 2095 2320 2514 2784 3352 3480 3712 4190 4640 5028 5568 6285 6704 6960 8380 9280 10056 11136 12151 12570 13408 13920 16760 18560 20112 24302 25140 26816 27840 33520 36453 40224 48604 50280 53632 55680 60755 67040 72906 80448 97208 100560 121510 134080 145812 160896 182265 194416 201120 243020 268160 291624 364530 388832 402240 486040 583248 729060 777664 804480 972080 1166496 1458120 1555328 1944160 2332992 2916240 3888320 4665984 5832480 7776640 11664960 23329920