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1480820148 = 223255773849
BaseRepresentation
bin101100001000011…
…1000010110110100
310211012102110100200
41120100320112310
511013042221043
6402535040500
751460522623
oct13020702664
93735373320
101480820148
1169a980105
12353b10130
131a7a38252
1410094d6ba
158a00b7d3
hex584385b4

1480820148 has 36 divisors (see below), whose sum is σ = 3749955300. Its totient is φ = 492713856.

The previous prime is 1480820137. The next prime is 1480820149. The reversal of 1480820148 is 8410280841.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 716739984 + 764080164 = 26772^2 + 27642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480820149) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16873 + ... + 56976.

It is an arithmetic number, because the mean of its divisors is an integer number (104165425).

Almost surely, 21480820148 is an apocalyptic number.

1480820148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1480820148 is an abundant number, since it is smaller than the sum of its proper divisors (2269135152).

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

1480820148 is a wasteful number, since it uses less digits than its factorization.

1480820148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74416 (or 74411 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1480820148 is about 38481.4260130780. The cubic root of 1480820148 is about 1139.8143095521.

The spelling of 1480820148 in words is "one billion, four hundred eighty million, eight hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 557 1114 1671 2228 3342 5013 6684 10026 20052 73849 147698 221547 295396 443094 664641 886188 1329282 2658564 41133893 82267786 123401679 164535572 246803358 370205037 493606716 740410074 1480820148