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23772420 = 22335719331
BaseRepresentation
bin101101010101…
…1110100000100
31122201202122000
41122223310010
522041204140
62205305300
7406030230
oct132536404
948652560
1023772420
1112467631
127b65230
134c04529
14322b5c0
152148a30
hex16abd04

23772420 has 192 divisors, whose sum is σ = 89241600. Its totient is φ = 5132160.

The previous prime is 23772407. The next prime is 23772451. The reversal of 23772420 is 2427732.

23772420 is a `hidden beast` number, since 237 + 7 + 2 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71655 + ... + 71985.

It is an arithmetic number, because the mean of its divisors is an integer number (464800).

Almost surely, 223772420 is an apocalyptic number.

23772420 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 23772420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44620800).

23772420 is an abundant number, since it is smaller than the sum of its proper divisors (65469180).

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

23772420 is a wasteful number, since it uses less digits than its factorization.

23772420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 23772420 is about 4875.6968732685. The cubic root of 23772420 is about 287.5352748148.

The spelling of 23772420 in words is "twenty-three million, seven hundred seventy-two thousand, four hundred twenty".