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1054152 = 2332114
BaseRepresentation
bin100000001010111001000
31222120000200
410001113020
5232213102
634332200
711650221
oct4012710
91876020
101054152
11660000
1242a060
132aba78
141d6248
1515c51c
hex1015c8

1054152 has 60 divisors (see below), whose sum is σ = 3140475. Its totient is φ = 319440.

The previous prime is 1054133. The next prime is 1054169. The reversal of 1054152 is 2514501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 527076 = 726^2 + 726^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=726.

It is a super-2 number, since 2×10541522 = 2222472878208, which contains 22 as substring.

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

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 95827 + ... + 95837.

21054152 is an apocalyptic number.

1054152 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 1054152

1054152 is an abundant number, since it is smaller than the sum of its proper divisors (2086323).

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

1054152 is an equidigital number, since it uses as much as digits as its factorization.

1054152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 16 counting only the distinct ones).

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

The square root of 1054152 is about 1026.7190462829. The cubic root of 1054152 is about 101.7734302020.

Multiplying 1054152 by its sum of digits (18), we get a 4-th power (18974736 = 664).

1054152 divided by its sum of digits (18) gives a square (58564 = 2422).

Multiplying 1054152 by its product of nonzero digits (200), we get a square (210830400 = 145202).

Adding to 1054152 its reverse (2514501), we get a palindrome (3568653).

The spelling of 1054152 in words is "one million, fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1331 1452 2178 2662 2904 3993 4356 5324 7986 8712 10648 11979 14641 15972 23958 29282 31944 43923 47916 58564 87846 95832 117128 131769 175692 263538 351384 527076 1054152