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23140152 = 233273937
BaseRepresentation
bin101100001000…
…1011100111000
31121112122022200
41120101130320
521410441102
62143550200
7400455000
oct130213470
947478280
1023140152
11120755a2
1278bb360
134a427c9
143105000
15207151c
hex1611738

23140152 has 96 divisors (see below), whose sum is σ = 73164000. Its totient is φ = 6604416.

The previous prime is 23140123. The next prime is 23140163. The reversal of 23140152 is 25104132.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 24228 + ... + 25164.

It is an arithmetic number, because the mean of its divisors is an integer number (762125).

Almost surely, 223140152 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 23140152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36582000).

23140152 is an abundant number, since it is smaller than the sum of its proper divisors (50023848).

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

23140152 is a wasteful number, since it uses less digits than its factorization.

23140152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23140152 is about 4810.4211873806. The cubic root of 23140152 is about 284.9631716031.

Adding to 23140152 its reverse (25104132), we get a palindrome (48244284).

The spelling of 23140152 in words is "twenty-three million, one hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 937 1029 1176 1372 1764 1874 2058 2744 2811 3087 3528 3748 4116 5622 6174 6559 7496 8232 8433 11244 12348 13118 16866 19677 22488 24696 26236 33732 39354 45913 52472 59031 67464 78708 91826 118062 137739 157416 183652 236124 275478 321391 367304 413217 472248 550956 642782 826434 964173 1101912 1285564 1652868 1928346 2571128 2892519 3305736 3856692 5785038 7713384 11570076 23140152