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20440140 = 22357411187
BaseRepresentation
bin100110111111…
…0010001001100
31102110110121020
41031332101030
520213041030
62010034140
7335511150
oct115762114
942413536
1020440140
11105a0a86
126a18950
134308876
142a01060
151bdb510
hex137e44c

20440140 has 96 divisors (see below), whose sum is σ = 67060224. Its totient is φ = 4554240.

The previous prime is 20440111. The next prime is 20440151. The reversal of 20440140 is 4104402.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 16627 + ... + 17813.

It is an arithmetic number, because the mean of its divisors is an integer number (698544).

Almost surely, 220440140 is an apocalyptic number.

20440140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112).

20440140 is an abundant number, since it is smaller than the sum of its proper divisors (46620084).

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

20440140 is a wasteful number, since it uses less digits than its factorization.

20440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20440140 is about 4521.0773052448. The cubic root of 20440140 is about 273.4185371231.

Adding to 20440140 its reverse (4104402), we get a palindrome (24544542).

The spelling of 20440140 in words is "twenty million, four hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1187 1230 1435 1722 2374 2460 2870 3444 3561 4305 4748 5740 5935 7122 8309 8610 11870 14244 16618 17220 17805 23740 24927 33236 35610 41545 48667 49854 71220 83090 97334 99708 124635 146001 166180 194668 243335 249270 292002 340669 486670 498540 584004 681338 730005 973340 1022007 1362676 1460010 1703345 2044014 2920020 3406690 4088028 5110035 6813380 10220070 20440140