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30237140 = 22529371409
BaseRepresentation
bin111001101011…
…0000111010100
32002220012120002
41303112013110
530220042030
63000030432
7515003633
oct163260724
962805502
1030237140
111608267a
12a162418
136358bcb
14403151a
1529c4245
hex1cd61d4

30237140 has 48 divisors (see below), whose sum is σ = 67510800. Its totient is φ = 11354112.

The previous prime is 30237139. The next prime is 30237161. The reversal of 30237140 is 4173203.

It can be written as a sum of positive squares in 8 ways, for example, as 839056 + 29398084 = 916^2 + 5422^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 20756 + ... + 22164.

It is an arithmetic number, because the mean of its divisors is an integer number (1406475).

Almost surely, 230237140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30237140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33755400).

30237140 is an abundant number, since it is smaller than the sum of its proper divisors (37273660).

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

30237140 is a wasteful number, since it uses less digits than its factorization.

30237140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 30237140 is about 5498.8307848123. The cubic root of 30237140 is about 311.5398240202.

The spelling of 30237140 in words is "thirty million, two hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 1409 2146 2818 4292 5365 5636 7045 10730 14090 21460 28180 40861 52133 81722 104266 163444 204305 208532 260665 408610 521330 817220 1042660 1511857 3023714 6047428 7559285 15118570 30237140