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23953140 = 22325133073
BaseRepresentation
bin101101101011…
…1111011110100
31200001221112100
41123113323310
522113000030
62213222100
7410412141
oct133277364
950057470
1023953140
1112580392
128031930
134c68873
1432773c8
152182360
hex16d7ef4

23953140 has 36 divisors (see below), whose sum is σ = 72658404. Its totient is φ = 6387456.

The previous prime is 23953133. The next prime is 23953147. The reversal of 23953140 is 4135932.

It is an interprime number because it is at equal distance from previous prime (23953133) and next prime (23953147).

It can be written as a sum of positive squares in 2 ways, for example, as 13571856 + 10381284 = 3684^2 + 3222^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23953147) by changing a digit.

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, 66357 + ... + 66716.

It is an arithmetic number, because the mean of its divisors is an integer number (2018289).

Almost surely, 223953140 is an apocalyptic number.

23953140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23953140 is an abundant number, since it is smaller than the sum of its proper divisors (48705264).

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

23953140 is a wasteful number, since it uses less digits than its factorization.

23953140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133088 (or 133083 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 23953140 is about 4894.1945200411. The cubic root of 23953140 is about 288.2620589269.

The spelling of 23953140 in words is "twenty-three million, nine hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 133073 266146 399219 532292 665365 798438 1197657 1330730 1596876 1996095 2395314 2661460 3992190 4790628 5988285 7984380 11976570 23953140