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278428980 = 2235311071399
BaseRepresentation
bin10000100110000…
…111110100110100
3201101220122202110
4100212013310310
51032234211410
643343411020
76620415204
oct2046076464
9641818673
10278428980
111331908a5
12792b3a70
13458b759b
1428d9a404
151969c720
hex10987d34

278428980 has 96 divisors (see below), whose sum is σ = 812851200. Its totient is φ = 71130240.

The previous prime is 278428973. The next prime is 278428993. The reversal of 278428980 is 89824872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198321 + ... + 199719.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2278428980 is an apocalyptic number.

278428980 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 278428980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406425600).

278428980 is an abundant number, since it is smaller than the sum of its proper divisors (534422220).

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

278428980 is a wasteful number, since it uses less digits than its factorization.

278428980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 278428980 is about 16686.1912969976. The cubic root of 278428980 is about 652.9874163771.

The spelling of 278428980 in words is "two hundred seventy-eight million, four hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 107 124 155 186 214 310 321 372 428 465 535 620 642 930 1070 1284 1399 1605 1860 2140 2798 3210 3317 4197 5596 6420 6634 6995 8394 9951 13268 13990 16585 16788 19902 20985 27980 33170 39804 41970 43369 49755 66340 83940 86738 99510 130107 149693 173476 199020 216845 260214 299386 433690 449079 520428 598772 650535 748465 867380 898158 1301070 1496930 1796316 2245395 2602140 2993860 4490790 4640483 8981580 9280966 13921449 18561932 23202415 27842898 46404830 55685796 69607245 92809660 139214490 278428980