Search a number
-
+
551131000 = 23537431831
BaseRepresentation
bin100000110110011…
…001011101111000
31102102001100121021
4200312121131320
52112042143000
6130404352224
716441351630
oct4066313570
91372040537
10551131000
1126310a972
121346a5674
138a248224
14532a56c0
15335b811a
hex20d99778

551131000 has 128 divisors (see below), whose sum is σ = 1508981760. Its totient is φ = 184464000.

The previous prime is 551130971. The next prime is 551131001. The reversal of 551131000 is 131155.

551131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5511310002 = 607490758322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551131001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300085 + ... + 301915.

It is an arithmetic number, because the mean of its divisors is an integer number (11788920).

Almost surely, 2551131000 is an apocalyptic number.

551131000 is a gapful number since it is divisible by the number (50) 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 551131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754490880).

551131000 is an abundant number, since it is smaller than the sum of its proper divisors (957850760).

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

551131000 is a wasteful number, since it uses less digits than its factorization.

551131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 551131000 is about 23476.1794165916. The cubic root of 551131000 is about 819.8824935725.

Adding to 551131000 its reverse (131155), we get a palindrome (551262155).

The spelling of 551131000 in words is "five hundred fifty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 125 140 172 175 200 215 250 280 301 344 350 430 500 602 700 860 875 1000 1075 1204 1400 1505 1720 1750 1831 2150 2408 3010 3500 3662 4300 5375 6020 7000 7324 7525 8600 9155 10750 12040 12817 14648 15050 18310 21500 25634 30100 36620 37625 43000 45775 51268 60200 64085 73240 75250 78733 91550 102536 128170 150500 157466 183100 228875 256340 301000 314932 320425 366200 393665 457750 512680 551131 629864 640850 787330 915500 1102262 1281700 1574660 1602125 1831000 1968325 2204524 2563400 2755655 3149320 3204250 3936650 4409048 5511310 6408500 7873300 9841625 11022620 12817000 13778275 15746600 19683250 22045240 27556550 39366500 55113100 68891375 78733000 110226200 137782750 275565500 551131000