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10133748 = 223431277
BaseRepresentation
bin100110101010…
…000011110100
3201001211220000
4212222003310
510043234443
61001111300
7152064312
oct46520364
921054800
1010133748
1157a16a9
123488530
13213a701
1414bb0b2
15d528d3
hex9aa0f4

10133748 has 30 divisors (see below), whose sum is σ = 26492466. Its totient is φ = 3377808.

The previous prime is 10133743. The next prime is 10133771. The reversal of 10133748 is 84733101.

It can be written as a sum of positive squares in only one way, i.e., 8928144 + 1205604 = 2988^2 + 1098^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133741) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 15315 + ... + 15962.

Almost surely, 210133748 is an apocalyptic number.

10133748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10133748 is an abundant number, since it is smaller than the sum of its proper divisors (16358718).

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

10133748 is a wasteful number, since it uses less digits than its factorization.

10133748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31293 (or 31282 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10133748 is about 3183.3548341333. The cubic root of 10133748 is about 216.3997227923.

Adding to 10133748 its reverse (84733101), we get a palindrome (94866849).

It can be divided in two parts, 1013 and 3748, that added together give a square (4761 = 692).

The spelling of 10133748 in words is "ten million, one hundred thirty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 31277 62554 93831 125108 187662 281493 375324 562986 844479 1125972 1688958 2533437 3377916 5066874 10133748