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23003032 = 2313292263
BaseRepresentation
bin101011110111…
…1111110011000
31121021200020011
41113233332120
521342044112
62141011304
7366344143
oct127577630
947250204
1023003032
1111a91578
127853b34
1349c5280
1430ab05a
152045aa7
hex15eff98

23003032 has 48 divisors (see below), whose sum is σ = 48288240. Its totient is φ = 10211712.

The previous prime is 23003027. The next prime is 23003041. The reversal of 23003032 is 23030032.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87333 + ... + 87595.

It is an arithmetic number, because the mean of its divisors is an integer number (1006005).

Almost surely, 223003032 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 23003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24144120).

23003032 is an abundant number, since it is smaller than the sum of its proper divisors (25285208).

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

23003032 is a wasteful number, since it uses less digits than its factorization.

23003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 23003032 is about 4796.1476207473. The cubic root of 23003032 is about 284.3991939646.

Adding to 23003032 its reverse (23030032), we get a palindrome (46033064).

Subtracting 23003032 from its reverse (23030032), we obtain a cube (27000 = 303).

The spelling of 23003032 in words is "twenty-three million, three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 263 377 526 754 841 1052 1508 1682 2104 3016 3364 3419 6728 6838 7627 10933 13676 15254 21866 27352 30508 43732 61016 87464 99151 198302 221183 396604 442366 793208 884732 1769464 2875379 5750758 11501516 23003032