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10328148 = 2234127251
BaseRepresentation
bin100111011001…
…100001010100
3201102201120000
4213121201110
510121000043
61005211300
7153534135
oct47314124
921381500
1010328148
115914766
123560b30
1321a803c
14152bc8c
15d902d3
hex9d9854

10328148 has 60 divisors (see below), whose sum is σ = 27320832. Its totient is φ = 3402000.

The previous prime is 10328137. The next prime is 10328161. The reversal of 10328148 is 84182301.

It is a super-3 number, since 3×103281483 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41023 + ... + 41273.

Almost surely, 210328148 is an apocalyptic number.

10328148 is a gapful number since it is divisible by the number (18) 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 10328148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660416).

10328148 is an abundant number, since it is smaller than the sum of its proper divisors (16992684).

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

10328148 is a wasteful number, since it uses less digits than its factorization.

10328148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10328148 is about 3213.7436114289. The cubic root of 10328148 is about 217.7747301238.

It can be divided in two parts, 1032 and 8148, that added together give a triangular number (9180 = T135).

The spelling of 10328148 in words is "ten million, three hundred twenty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 251 254 324 381 502 508 753 762 1004 1143 1506 1524 2259 2286 3012 3429 4518 4572 6777 6858 9036 10287 13554 13716 20331 20574 27108 31877 40662 41148 63754 81324 95631 127508 191262 286893 382524 573786 860679 1147572 1721358 2582037 3442716 5164074 10328148