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180135420 = 22353196847
BaseRepresentation
bin10101011110010…
…10010111111100
3110112221211100020
422233022113330
5332103313140
625512532140
74315061103
oct1257122774
9415854306
10180135420
1192755453
12503b1050
132b42070a
1419cd103a
1510c336d0
hexabca5fc

180135420 has 48 divisors (see below), whose sum is σ = 520654848. Its totient is φ = 46486080.

The previous prime is 180135407. The next prime is 180135433. The reversal of 180135420 is 24531081.

It is an interprime number because it is at equal distance from previous prime (180135407) and next prime (180135433).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46564 + ... + 50283.

It is an arithmetic number, because the mean of its divisors is an integer number (10846976).

Almost surely, 2180135420 is an apocalyptic number.

180135420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180135420 is an abundant number, since it is smaller than the sum of its proper divisors (340519428).

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

180135420 is a wasteful number, since it uses less digits than its factorization.

180135420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96890 (or 96888 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 180135420 is about 13421.4537215609. The cubic root of 180135420 is about 564.7631763892.

The spelling of 180135420 in words is "one hundred eighty million, one hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 96847 193694 290541 387388 484235 581082 968470 1162164 1452705 1936940 2905410 3002257 5810820 6004514 9006771 12009028 15011285 18013542 30022570 36027084 45033855 60045140 90067710 180135420