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10088020 = 2253153307
BaseRepresentation
bin100110011110…
…111001010100
3200222112011101
4212132321110
510040304040
61000115444
7151514065
oct46367124
920875141
1010088020
115770308
123465b84
132122957
1414a856c
15d4409a
hex99ee54

10088020 has 48 divisors (see below), whose sum is σ = 22353408. Its totient is φ = 3818880.

The previous prime is 10088017. The next prime is 10088041. The reversal of 10088020 is 2088001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32707 + ... + 33013.

It is an arithmetic number, because the mean of its divisors is an integer number (465696).

Almost surely, 210088020 is an apocalyptic number.

10088020 is a gapful number since it is divisible by the number (10) 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 10088020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176704).

10088020 is an abundant number, since it is smaller than the sum of its proper divisors (12265388).

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

10088020 is a wasteful number, since it uses less digits than its factorization.

10088020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 10088020 is about 3176.1643534301. The cubic root of 10088020 is about 216.0737345434.

Subtracting from 10088020 its sum of digits (19), we obtain a palindrome (10088001).

The spelling of 10088020 in words is "ten million, eighty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 307 310 530 614 620 1060 1228 1535 1643 3070 3286 6140 6572 8215 9517 16271 16430 19034 32542 32860 38068 47585 65084 81355 95170 162710 190340 325420 504401 1008802 2017604 2522005 5044010 10088020