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23141940 = 22351273037
BaseRepresentation
bin101100001000…
…1111000110100
31121112201202220
41120101320310
521411020230
62144002340
7400463133
oct130217064
947481686
1023141940
1112076978
1279003b0
134a43573
14310591a
152071d10
hex1611e34

23141940 has 48 divisors (see below), whose sum is σ = 65329152. Its totient is φ = 6120576.

The previous prime is 23141939. The next prime is 23141959. The reversal of 23141940 is 4914132.

It is a self number, because there is not a number n which added to its sum of digits gives 23141940.

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 15 ways as a sum of consecutive naturals, for example, 6102 + ... + 9138.

It is an arithmetic number, because the mean of its divisors is an integer number (1361024).

Almost surely, 223141940 is an apocalyptic number.

23141940 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 23141940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32664576).

23141940 is an abundant number, since it is smaller than the sum of its proper divisors (42187212).

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

23141940 is a wasteful number, since it uses less digits than its factorization.

23141940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 23141940 is about 4810.6070303029. The cubic root of 23141940 is about 284.9705109532.

The spelling of 23141940 in words is "twenty-three million, one hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3037 3810 6074 7620 9111 12148 15185 18222 30370 36444 45555 60740 91110 182220 385699 771398 1157097 1542796 1928495 2314194 3856990 4628388 5785485 7713980 11570970 23141940