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23797620 = 2232571117101
BaseRepresentation
bin101101011000…
…1111101110100
31122210001012100
41122301331310
522043010440
62210022100
7406163550
oct132617564
948701170
1023797620
1112484560
127b77930
134c12b42
143236860
152151230
hex16b1f74

23797620 has 288 divisors, whose sum is σ = 96235776. Its totient is φ = 4608000.

The previous prime is 23797601. The next prime is 23797639. The reversal of 23797620 is 2679732.

23797620 is a `hidden beast` number, since 23 + 7 + 9 + 7 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (23797601) and next prime (23797639).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235570 + ... + 235670.

It is an arithmetic number, because the mean of its divisors is an integer number (334152).

Almost surely, 223797620 is an apocalyptic number.

23797620 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 23797620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117888).

23797620 is an abundant number, since it is smaller than the sum of its proper divisors (72438156).

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

23797620 is a wasteful number, since it uses less digits than its factorization.

23797620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 23797620 is about 4878.2804347434. The cubic root of 23797620 is about 287.6368397108.

It can be divided in two parts, 2379 and 7620, that added together give a palindrome (9999).

The spelling of 23797620 in words is "twenty-three million, seven hundred ninety-seven thousand, six hundred twenty".