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20122140 = 2235192929
BaseRepresentation
bin100110011000…
…0101000011100
31101212022101110
41030300220130
520122402030
61555142020
7333015063
oct114605034
941768343
1020122140
11103a4075
1268a4910
134226bbc
14295b1da
151b771b0
hex1330a1c

20122140 has 72 divisors (see below), whose sum is σ = 59527440. Its totient is φ = 5078016.

The previous prime is 20122133. The next prime is 20122147. The reversal of 20122140 is 4122102.

It is an interprime number because it is at equal distance from previous prime (20122133) and next prime (20122147).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21196 + ... + 22124.

It is an arithmetic number, because the mean of its divisors is an integer number (826770).

Almost surely, 220122140 is an apocalyptic number.

20122140 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 20122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763720).

20122140 is an abundant number, since it is smaller than the sum of its proper divisors (39405300).

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

20122140 is a wasteful number, since it uses less digits than its factorization.

20122140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20122140 is about 4485.7708367682. The cubic root of 20122140 is about 271.9932055685.

Adding to 20122140 its reverse (4122102), we get a palindrome (24244242).

The spelling of 20122140 in words is "twenty million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 929 1083 1140 1444 1805 1858 2166 2787 3610 3716 4332 4645 5415 5574 7220 9290 10830 11148 13935 17651 18580 21660 27870 35302 52953 55740 70604 88255 105906 176510 211812 264765 335369 353020 529530 670738 1006107 1059060 1341476 1676845 2012214 3353690 4024428 5030535 6707380 10061070 20122140