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2034120 = 2335112367
BaseRepresentation
bin111110000100111001000
310211100021210
413300213020
51010042440
6111333120
723201244
oct7604710
93740253
102034120
11116a2a0
128211a0
13562b2a
143ad424
152a2a80
hex1f09c8

2034120 has 128 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 464640.

The previous prime is 2034103. The next prime is 2034139. The reversal of 2034120 is 214302.

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

It is a junction number, because it is equal to n+sod(n) for n = 2034096 and 2034105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30327 + ... + 30393.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

22034120 is an apocalyptic number.

2034120 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 2034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2034120 is an abundant number, since it is smaller than the sum of its proper divisors (5016120).

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

2034120 is a wasteful number, since it uses less digits than its factorization.

2034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2034120 is about 1426.2257885763. The cubic root of 2034120 is about 126.7045439202.

Adding to 2034120 its reverse (214302), we get a palindrome (2248422).

The spelling of 2034120 in words is "two million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 67 69 88 92 110 115 120 132 134 138 165 184 201 220 230 253 264 268 276 330 335 345 402 440 460 506 536 552 660 670 690 737 759 804 920 1005 1012 1265 1320 1340 1380 1474 1518 1541 1608 2010 2024 2211 2530 2680 2760 2948 3036 3082 3685 3795 4020 4422 4623 5060 5896 6072 6164 7370 7590 7705 8040 8844 9246 10120 11055 12328 14740 15180 15410 16951 17688 18492 22110 23115 29480 30360 30820 33902 36984 44220 46230 50853 61640 67804 84755 88440 92460 101706 135608 169510 184920 203412 254265 339020 406824 508530 678040 1017060 2034120