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1988120 = 235232161
BaseRepresentation
bin111100101011000011000
310202000012002
413211120120
51002104440
6110340132
722620161
oct7453030
93660162
101988120
111138782
127ba648
13547c04
1439a768
15294115
hex1e5618

1988120 has 32 divisors (see below), whose sum is σ = 4669920. Its totient is φ = 760320.

The previous prime is 1988113. The next prime is 1988137. The reversal of 1988120 is 218891.

It is a super-2 number, since 2×19881202 = 7905242268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161 + ... + 2000.

It is an arithmetic number, because the mean of its divisors is an integer number (145935).

21988120 is an apocalyptic number.

1988120 is a gapful number since it is divisible by the number (10) 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 1988120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334960).

1988120 is an abundant number, since it is smaller than the sum of its proper divisors (2681800).

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

1988120 is a wasteful number, since it uses less digits than its factorization.

1988120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 1988120 is about 1410.0070921807. The cubic root of 1988120 is about 125.7421450457.

The spelling of 1988120 in words is "one million, nine hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 2161 4322 8644 10805 17288 21610 43220 49703 86440 99406 198812 248515 397624 497030 994060 1988120