Search a number
-
+
23719640 = 235784713
BaseRepresentation
bin101101001111…
…0111011011000
31122122002020012
41122132323120
522033012030
62204221052
7405420320
oct132367330
948562205
1023719640
1112430a0a
127b3a788
134bb64b9
143216280
152138095
hex169eed8

23719640 has 32 divisors (see below), whose sum is σ = 60994080. Its totient is φ = 8132352.

The previous prime is 23719639. The next prime is 23719643. The reversal of 23719640 is 4691732.

It is a junction number, because it is equal to n+sod(n) for n = 23719597 and 23719606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23719643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42077 + ... + 42636.

It is an arithmetic number, because the mean of its divisors is an integer number (1906065).

Almost surely, 223719640 is an apocalyptic number.

23719640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23719640 is an abundant number, since it is smaller than the sum of its proper divisors (37274440).

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

23719640 is a wasteful number, since it uses less digits than its factorization.

23719640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84731 (or 84727 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 23719640 is about 4870.2813060438. The cubic root of 23719640 is about 287.3223199549.

The spelling of 23719640 in words is "twenty-three million, seven hundred nineteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 84713 169426 338852 423565 592991 677704 847130 1185982 1694260 2371964 2964955 3388520 4743928 5929910 11859820 23719640