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23978035 = 531372113
BaseRepresentation
bin101101101111…
…0000000110011
31200010012200101
41123132000303
522114244120
62213533231
7410544544
oct133360063
950105611
1023978035
1112598064
128044217
134c76cb3
1432824cb
15218990a
hex16de033

23978035 has 24 divisors (see below), whose sum is σ = 30796416. Its totient is φ = 17902080.

The previous prime is 23978033. The next prime is 23978039. The reversal of 23978035 is 53087932.

23978035 = T228 + T229 + ... + T537.

It is not a de Polignac number, because 23978035 - 21 = 23978033 is a prime.

It is a super-2 number, since 2×239780352 = 1149892324922450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23977985 and 23978003.

It is not an unprimeable number, because it can be changed into a prime (23978033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212139 + ... + 212251.

It is an arithmetic number, because the mean of its divisors is an integer number (1283184).

Almost surely, 223978035 is an apocalyptic number.

23978035 is a deficient number, since it is larger than the sum of its proper divisors (6818381).

23978035 is a wasteful number, since it uses less digits than its factorization.

23978035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 23978035 is about 4896.7371789795. The cubic root of 23978035 is about 288.3618899475.

The spelling of 23978035 in words is "twenty-three million, nine hundred seventy-eight thousand, thirty-five".

Divisors: 1 5 31 37 113 155 185 565 1147 1369 3503 4181 5735 6845 17515 20905 42439 129611 154697 212195 648055 773485 4795607 23978035