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2087820 = 2232571657
BaseRepresentation
bin111111101101110001100
310221001221200
413331232030
51013302240
6112425500
723513640
oct7755614
93831850
102087820
1111a6679
12848290
135813c7
143c4c20
152b3930
hex1fdb8c

2087820 has 72 divisors (see below), whose sum is σ = 7242144. Its totient is φ = 476928.

The previous prime is 2087809. The next prime is 2087831. The reversal of 2087820 is 287802.

2087820 = T104 + T105 + ... + T238.

It is an interprime number because it is at equal distance from previous prime (2087809) and next prime (2087831).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432 + ... + 2088.

22087820 is an apocalyptic number.

2087820 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 2087820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621072).

2087820 is an abundant number, since it is smaller than the sum of its proper divisors (5154324).

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

2087820 is a wasteful number, since it uses less digits than its factorization.

2087820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2087820 is about 1444.9290640028. The cubic root of 2087820 is about 127.8098576598.

The spelling of 2087820 in words is "two million, eighty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1657 3314 4971 6628 8285 9942 11599 14913 16570 19884 23198 24855 29826 33140 34797 46396 49710 57995 59652 69594 74565 99420 104391 115990 139188 149130 173985 208782 231980 298260 347970 417564 521955 695940 1043910 2087820