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10819152 = 243275133
BaseRepresentation
bin101001010001…
…011001010000
3202100200002100
4221101121100
510232203102
61023520400
7160650501
oct51213120
922320070
1010819152
11611a653
123759100
13231a686
141618ba8
15e3aa1c
hexa51650

10819152 has 30 divisors (see below), whose sum is σ = 30279002. Its totient is φ = 3606336.

The previous prime is 10819147. The next prime is 10819163. The reversal of 10819152 is 25191801.

It can be written as a sum of positive squares in only one way, i.e., 10265616 + 553536 = 3204^2 + 744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37423 + ... + 37710.

Almost surely, 210819152 is an apocalyptic number.

10819152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10819152 is an abundant number, since it is smaller than the sum of its proper divisors (19459850).

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

10819152 is a wasteful number, since it uses less digits than its factorization.

10819152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75147 (or 75138 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 10819152 is about 3289.2479383592. The cubic root of 10819152 is about 221.1724730768.

The spelling of 10819152 in words is "ten million, eight hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 75133 150266 225399 300532 450798 601064 676197 901596 1202128 1352394 1803192 2704788 3606384 5409576 10819152