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2142140 = 22571113107
BaseRepresentation
bin1000001010111110111100
311000211110112
420022332330
51022022030
6113525152
724131210
oct10127674
94024415
102142140
111233470
128737b8
135a0050
143da940
152c4a95
hex20afbc

2142140 has 96 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 610560.

The previous prime is 2142121. The next prime is 2142149. The reversal of 2142140 is 412412.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19967 + ... + 20073.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

22142140 is an apocalyptic number.

2142140 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 2142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2142140 is an abundant number, since it is smaller than the sum of its proper divisors (3954244).

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

2142140 is a wasteful number, since it uses less digits than its factorization.

2142140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2142140 is about 1463.6051380068. The cubic root of 2142140 is about 128.9088152351.

Adding to 2142140 its reverse (412412), we get a palindrome (2554552).

The spelling of 2142140 in words is "two million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 107 110 130 140 143 154 182 214 220 260 286 308 364 385 428 455 535 572 715 749 770 910 1001 1070 1177 1391 1430 1498 1540 1820 2002 2140 2354 2782 2860 2996 3745 4004 4708 5005 5564 5885 6955 7490 8239 9737 10010 11770 13910 14980 15301 16478 19474 20020 23540 27820 30602 32956 38948 41195 48685 61204 76505 82390 97370 107107 153010 164780 194740 214214 306020 428428 535535 1071070 2142140