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187428420 = 223251041269
BaseRepresentation
bin10110010101111…
…10111001000100
3111001200100110100
423022332321010
5340440202140
630333124100
74434054354
oct1312767104
9431610410
10187428420
1196886823
1252929630
132caa50ba
141ac6cb64
15116c4530
hexb2bee44

187428420 has 36 divisors (see below), whose sum is σ = 568533420. Its totient is φ = 49980864.

The previous prime is 187428401. The next prime is 187428431. The reversal of 187428420 is 24824781.

It can be written as a sum of positive squares in 2 ways, for example, as 20088324 + 167340096 = 4482^2 + 12936^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520455 + ... + 520814.

It is an arithmetic number, because the mean of its divisors is an integer number (15792595).

Almost surely, 2187428420 is an apocalyptic number.

187428420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

187428420 is an abundant number, since it is smaller than the sum of its proper divisors (381105000).

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

187428420 is a wasteful number, since it uses less digits than its factorization.

187428420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041284 (or 1041279 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 187428420 is about 13690.4499560825. The cubic root of 187428420 is about 572.2842776547.

The spelling of 187428420 in words is "one hundred eighty-seven million, four hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1041269 2082538 3123807 4165076 5206345 6247614 9371421 10412690 12495228 15619035 18742842 20825380 31238070 37485684 46857105 62476140 93714210 187428420