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2158020 = 2232519631
BaseRepresentation
bin1000001110110111000100
311001122020200
420032313010
51023024040
6114130500
724225414
oct10166704
94048220
102158020
111244397
12880a30
135a7347
14402644
152c9630
hex20edc4

2158020 has 72 divisors (see below), whose sum is σ = 6901440. Its totient is φ = 544320.

The previous prime is 2158019. The next prime is 2158027. The reversal of 2158020 is 208512.

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

It is a junction number, because it is equal to n+sod(n) for n = 2157984 and 2158002.

It is not an unprimeable number, because it can be changed into a prime (2158027) 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, 3105 + ... + 3735.

22158020 is an apocalyptic number.

2158020 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 2158020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450720).

2158020 is an abundant number, since it is smaller than the sum of its proper divisors (4743420).

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

2158020 is a wasteful number, since it uses less digits than its factorization.

2158020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2158020 is about 1469.0200815510. The cubic root of 2158020 is about 129.2265713576.

The spelling of 2158020 in words is "two million, one hundred fifty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 631 684 855 1140 1262 1710 1893 2524 3155 3420 3786 5679 6310 7572 9465 11358 11989 12620 18930 22716 23978 28395 35967 37860 47956 56790 59945 71934 107901 113580 119890 143868 179835 215802 239780 359670 431604 539505 719340 1079010 2158020