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988380 = 2232517219
BaseRepresentation
bin11110001010011011100
31212012210200
43301103130
5223112010
633103500
711254401
oct3612334
91765720
10988380
11615648
123b7b90
13287b53
141ba2a8
15147cc0
hexf14dc

988380 has 108 divisors (see below), whose sum is σ = 3352440. Its totient is φ = 235008.

The previous prime is 988367. The next prime is 988409. The reversal of 988380 is 83889.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52011 + ... + 52029.

2988380 is an apocalyptic number.

988380 is a gapful number since it is divisible by the number (90) 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 988380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676220).

988380 is an abundant number, since it is smaller than the sum of its proper divisors (2364060).

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

988380 is a wasteful number, since it uses less digits than its factorization.

988380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 988380 is about 994.1730231705. The cubic root of 988380 is about 99.6111566348.

The spelling of 988380 in words is "nine hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 289 306 323 340 342 380 510 570 578 612 646 684 765 855 867 969 1020 1140 1156 1292 1445 1530 1615 1710 1734 1938 2601 2890 2907 3060 3230 3420 3468 3876 4335 4845 5202 5491 5780 5814 6460 8670 9690 10404 10982 11628 13005 14535 16473 17340 19380 21964 26010 27455 29070 32946 49419 52020 54910 58140 65892 82365 98838 109820 164730 197676 247095 329460 494190 988380