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10054152 = 233389523
BaseRepresentation
bin100110010110…
…101000001000
3200220210201000
4212112220020
510033213102
6555255000
7151313253
oct46265010
920823630
1010054152
115747919
12344a460
132110404
14149a09a
15d3901c
hex996a08

10054152 has 64 divisors (see below), whose sum is σ = 28296000. Its totient is φ = 3307392.

The previous prime is 10054111. The next prime is 10054159. The reversal of 10054152 is 25145001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10054159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18963 + ... + 19485.

It is an arithmetic number, because the mean of its divisors is an integer number (442125).

Almost surely, 210054152 is an apocalyptic number.

10054152 is a gapful number since it is divisible by the number (12) 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 10054152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148000).

10054152 is an abundant number, since it is smaller than the sum of its proper divisors (18241848).

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

10054152 is a wasteful number, since it uses less digits than its factorization.

10054152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10054152 is about 3170.8282829570. The cubic root of 10054152 is about 215.8316589598.

Adding to 10054152 its reverse (25145001), we get a palindrome (35199153).

The spelling of 10054152 in words is "ten million, fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 523 534 712 801 1046 1068 1569 1602 2092 2136 2403 3138 3204 4184 4707 4806 6276 6408 9414 9612 12552 14121 18828 19224 28242 37656 46547 56484 93094 112968 139641 186188 279282 372376 418923 558564 837846 1117128 1256769 1675692 2513538 3351384 5027076 10054152