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23423120 = 2457151277
BaseRepresentation
bin101100101011…
…0100010010000
31122002000110222
41121112202100
521444014440
62154012212
7403043660
oct131264220
948060428
1023423120
1112249156
127a17068
134b11546
14317a1a0
1520ca2b5
hex1656890

23423120 has 80 divisors (see below), whose sum is σ = 62876928. Its totient is φ = 7948800.

The previous prime is 23423117. The next prime is 23423123. The reversal of 23423120 is 2132432.

It is an interprime number because it is at equal distance from previous prime (23423117) and next prime (23423123).

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

It is not an unprimeable number, because it can be changed into a prime (23423123) 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, 84422 + ... + 84698.

Almost surely, 223423120 is an apocalyptic number.

23423120 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 23423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31438464).

23423120 is an abundant number, since it is smaller than the sum of its proper divisors (39453808).

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

23423120 is a wasteful number, since it uses less digits than its factorization.

23423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 23423120 is about 4839.7437948718. The cubic root of 23423120 is about 286.1200206971.

Adding to 23423120 its reverse (2132432), we get a palindrome (25555552).

The spelling of 23423120 in words is "twenty-three million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 277 280 302 554 560 604 755 1057 1108 1208 1385 1510 1939 2114 2216 2416 2770 3020 3878 4228 4432 5285 5540 6040 7756 8456 9695 10570 11080 12080 15512 16912 19390 21140 22160 31024 38780 41827 42280 77560 83654 84560 155120 167308 209135 292789 334616 418270 585578 669232 836540 1171156 1463945 1673080 2342312 2927890 3346160 4684624 5855780 11711560 23423120