Search a number
-
+
78198780 = 2235111091087
BaseRepresentation
bin1001010100100…
…11011111111100
312110010220120010
410222103133330
5130004330110
611432023220
71636451532
oct452233774
9173126503
1078198780
11401609a0
1222231b10
131327c58a
14a558152
156cea020
hex4a937fc

78198780 has 96 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 18766080.

The previous prime is 78198751. The next prime is 78198787. The reversal of 78198780 is 8789187.

It is a super-2 number, since 2×781987802 = 12230098386976800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78198787) 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, 71397 + ... + 72483.

It is an arithmetic number, because the mean of its divisors is an integer number (2513280).

Almost surely, 278198780 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 78198780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

78198780 is an abundant number, since it is smaller than the sum of its proper divisors (163076100).

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

78198780 is a wasteful number, since it uses less digits than its factorization.

78198780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 48.

The square root of 78198780 is about 8843.0074069855. The cubic root of 78198780 is about 427.6285171556.

The spelling of 78198780 in words is "seventy-eight million, one hundred ninety-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1087 1090 1199 1308 1635 2174 2180 2398 3261 3270 3597 4348 4796 5435 5995 6522 6540 7194 10870 11957 11990 13044 14388 16305 17985 21740 23914 23980 32610 35871 35970 47828 59785 65220 71742 71940 118483 119570 143484 179355 236966 239140 355449 358710 473932 592415 710898 717420 1184830 1303313 1421796 1777245 2369660 2606626 3554490 3909939 5213252 6516565 7108980 7819878 13033130 15639756 19549695 26066260 39099390 78198780