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10141152 = 253715091
BaseRepresentation
bin100110101011…
…110111100000
3201002020001020
4212223313200
510044004102
61001205440
7152125020
oct46536740
921066036
1010141152
1157a721a
123490880
132140ba8
1414bda80
15d54bbc
hex9abde0

10141152 has 48 divisors (see below), whose sum is σ = 30425472. Its totient is φ = 2897280.

The previous prime is 10141141. The next prime is 10141169. The reversal of 10141152 is 25114101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 6874 + ... + 8217.

It is an arithmetic number, because the mean of its divisors is an integer number (633864).

Almost surely, 210141152 is an apocalyptic number.

10141152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10141152 is an abundant number, since it is smaller than the sum of its proper divisors (20284320).

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

10141152 is a wasteful number, since it uses less digits than its factorization.

10141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15111 (or 15103 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 10141152 is about 3184.5175458772. The cubic root of 10141152 is about 216.4524125275.

Adding to 10141152 its reverse (25114101), we get a palindrome (35255253).

The spelling of 10141152 in words is "ten million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 15091 30182 45273 60364 90546 105637 120728 181092 211274 241456 316911 362184 422548 482912 633822 724368 845096 1267644 1448736 1690192 2535288 3380384 5070576 10141152