Search a number
-
+
23147940 = 22353710427
BaseRepresentation
bin101100001001…
…1010110100100
31121120001000010
41120103112210
521411213230
62144050220
7400516464
oct130232644
947501003
1023147940
1112080432
127903970
134a4620a
143107ba4
1520739b0
hex16135a4

23147940 has 48 divisors (see below), whose sum is σ = 66572352. Its totient is φ = 6005376.

The previous prime is 23147933. The next prime is 23147963. The reversal of 23147940 is 4974132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23147898 and 23147907.

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, 2994 + ... + 7433.

It is an arithmetic number, because the mean of its divisors is an integer number (1386924).

Almost surely, 223147940 is an apocalyptic number.

23147940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23147940 is an abundant number, since it is smaller than the sum of its proper divisors (43424412).

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

23147940 is a wasteful number, since it uses less digits than its factorization.

23147940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 23147940 is about 4811.2306118082. The cubic root of 23147940 is about 284.9951368822.

The spelling of 23147940 in words is "twenty-three million, one hundred forty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 10427 20854 31281 41708 52135 62562 104270 125124 156405 208540 312810 385799 625620 771598 1157397 1543196 1928995 2314794 3857990 4629588 5786985 7715980 11573970 23147940