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23121632 = 2517192237
BaseRepresentation
bin101100000110…
…0111011100000
31121111200220202
41120030323200
521404343012
62143324332
7400350002
oct130147340
947450822
1023121632
1112062696
1278b06a8
134a37251
1430dc372
15206acc2
hex160cee0

23121632 has 48 divisors (see below), whose sum is σ = 50757840. Its totient is φ = 10303488.

The previous prime is 23121617. The next prime is 23121643. The reversal of 23121632 is 23612132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9218 + ... + 11454.

It is an arithmetic number, because the mean of its divisors is an integer number (1057455).

Almost surely, 223121632 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 23121632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25378920).

23121632 is an abundant number, since it is smaller than the sum of its proper divisors (27636208).

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

23121632 is a wasteful number, since it uses less digits than its factorization.

23121632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2275 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 23121632 is about 4808.4958147013. The cubic root of 23121632 is about 284.8871287937.

Adding to 23121632 its reverse (23612132), we get a palindrome (46733764).

The spelling of 23121632 in words is "twenty-three million, one hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2237 2584 4474 5168 8948 10336 17896 35792 38029 42503 71584 76058 85006 152116 170012 304232 340024 608464 680048 722551 1216928 1360096 1445102 2890204 5780408 11560816 23121632