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1148532100 = 225233892
BaseRepresentation
bin100010001110101…
…0011010110000100
32222001011110211221
41010131103112010
54323011011400
6305545010124
740314235042
oct10435232604
92861143757
101148532100
1153a353191
12280783944
13153c43bc1
14ac773392
156ac70c1a
hex44753584

1148532100 has 27 divisors (see below), whose sum is σ = 2493050287. Its totient is φ = 459277280.

The previous prime is 1148532079. The next prime is 1148532137. The reversal of 1148532100 is 12358411.

The square root of 1148532100 is 33890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 236975236 + 911556864 = 15394^2 + 30192^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 337206 + ... + 340594.

Almost surely, 21148532100 is an apocalyptic number.

1148532100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1148532100 is the 33890-th square number.

It is an amenable number.

1148532100 is an abundant number, since it is smaller than the sum of its proper divisors (1344518187).

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

1148532100 is an frugal number, since it uses more digits than its factorization.

1148532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The cubic root of 1148532100 is about 1047.2435942429.

Multiplying 1148532100 by its sum of digits (25), we get a square (28713302500 = 1694502).

1148532100 divided by its sum of digits (25) gives a square (45941284 = 67782).

The spelling of 1148532100 in words is "one billion, one hundred forty-eight million, five hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3389 6778 13556 16945 33890 67780 84725 169450 338900 11485321 22970642 45941284 57426605 114853210 229706420 287133025 574266050 1148532100