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2155140 = 2233513307
BaseRepresentation
bin1000001110001010000100
311001111022000
420032022010
51022431030
6114105300
724214131
oct10161204
94044260
102155140
111242209
1287b230
135a5c40
14401588
152c8860
hex20e284

2155140 has 96 divisors (see below), whose sum is σ = 7244160. Its totient is φ = 528768.

The previous prime is 2155133. The next prime is 2155159. The reversal of 2155140 is 415512.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6867 + ... + 7173.

It is an arithmetic number, because the mean of its divisors is an integer number (75460).

22155140 is an apocalyptic number.

2155140 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 2155140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622080).

2155140 is an abundant number, since it is smaller than the sum of its proper divisors (5089020).

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

2155140 is a wasteful number, since it uses less digits than its factorization.

2155140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2155140 is about 1468.0395090051. The cubic root of 2155140 is about 129.1690590377.

The spelling of 2155140 in words is "two million, one hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 307 351 390 468 540 585 614 702 780 921 1170 1228 1404 1535 1755 1842 2340 2763 3070 3510 3684 3991 4605 5526 6140 7020 7982 8289 9210 11052 11973 13815 15964 16578 18420 19955 23946 27630 33156 35919 39910 41445 47892 55260 59865 71838 79820 82890 107757 119730 143676 165780 179595 215514 239460 359190 431028 538785 718380 1077570 2155140