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23461984 = 2572131151
BaseRepresentation
bin101100110000…
…0000001100000
31122010222210101
41121200001200
522001240414
62154512144
7403265200
oct131400140
948128711
1023461984
1112275377
127a35654
134b26140
14318a400
1520d6a74
hex1660060

23461984 has 72 divisors (see below), whose sum is σ = 57915648. Its totient is φ = 9273600.

The previous prime is 23461951. The next prime is 23462027. The reversal of 23461984 is 48916432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19809 + ... + 20959.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 223461984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957824).

23461984 is an abundant number, since it is smaller than the sum of its proper divisors (34453664).

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

23461984 is a wasteful number, since it uses less digits than its factorization.

23461984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1173 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 23461984 is about 4843.7572193495. The cubic root of 23461984 is about 286.2781781659.

The spelling of 23461984 in words is "twenty-three million, four hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1151 1274 1456 1568 2302 2548 2912 4604 5096 8057 9208 10192 14963 16114 18416 20384 29926 32228 36832 56399 59852 64456 104741 112798 119704 128912 209482 225596 239408 257824 418964 451192 478816 733187 837928 902384 1466374 1675856 1804768 2932748 3351712 5865496 11730992 23461984