Search a number
-
+
781421400 = 233252538191
BaseRepresentation
bin101110100100111…
…000101101011000
32000110101022122100
4232210320231120
53100020441100
6205312323400
725235654334
oct5644705530
92013338570
10781421400
11371101511
12199843560
13c5b79736
1475ad07c4
1548907400
hex2e938b58

781421400 has 144 divisors (see below), whose sum is σ = 2674114560. Its totient is φ = 204422400.

The previous prime is 781421393. The next prime is 781421401. The reversal of 781421400 is 4124187.

781421400 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 2×7814214002 = 1221238808755920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781421401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91305 + ... + 99495.

It is an arithmetic number, because the mean of its divisors is an integer number (18570240).

Almost surely, 2781421400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 781421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337057280).

781421400 is an abundant number, since it is smaller than the sum of its proper divisors (1892693160).

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

781421400 is a wasteful number, since it uses less digits than its factorization.

781421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8254 counting only the distinct ones).

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

The square root of 781421400 is about 27953.9156470073. The cubic root of 781421400 is about 921.0752236549.

Adding to 781421400 its reverse (4124187), we get a palindrome (785545587).

The spelling of 781421400 in words is "seven hundred eighty-one million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 53 60 72 75 90 100 106 120 150 159 180 200 212 225 265 300 318 360 424 450 477 530 600 636 795 900 954 1060 1272 1325 1590 1800 1908 2120 2385 2650 3180 3816 3975 4770 5300 6360 7950 8191 9540 10600 11925 15900 16382 19080 23850 24573 31800 32764 40955 47700 49146 65528 73719 81910 95400 98292 122865 147438 163820 196584 204775 245730 294876 327640 368595 409550 434123 491460 589752 614325 737190 819100 868246 982920 1228650 1302369 1474380 1638200 1736492 1842975 2170615 2457300 2604738 2948760 3472984 3685950 3907107 4341230 4914600 5209476 6511845 7371900 7814214 8682460 10418952 10853075 13023690 14743800 15628428 17364920 19535535 21706150 26047380 31256856 32559225 39071070 43412300 52094760 65118450 78142140 86824600 97677675 130236900 156284280 195355350 260473800 390710700 781421400