Search a number
-
+
678240080 = 24574773353
BaseRepresentation
bin101000011011010…
…001111101010000
31202021020011110222
4220123101331100
52342112140310
6151145012212
722543642220
oct5033217520
91667204428
10678240080
113189378a1
1216b184068
13aa690bbb
1466112080
153e825055
hex286d1f50

678240080 has 160 divisors (see below), whose sum is σ = 1871023104. Its totient is φ = 223838208.

The previous prime is 678240053. The next prime is 678240083. The reversal of 678240080 is 80042876.

It is a super-2 number, since 2×6782400802 = 920019212236812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 678240080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678240083) 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, 1921184 + ... + 1921536.

Almost surely, 2678240080 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 678240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935511552).

678240080 is an abundant number, since it is smaller than the sum of its proper divisors (1192783024).

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

678240080 is a wasteful number, since it uses less digits than its factorization.

678240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 678240080 is about 26043.0428329717. The cubic root of 678240080 is about 878.6066448464.

The spelling of 678240080 in words is "six hundred seventy-eight million, two hundred forty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 73 80 94 112 140 146 188 235 280 292 329 353 365 376 470 511 560 584 658 706 730 752 940 1022 1168 1316 1412 1460 1645 1765 1880 2044 2471 2555 2632 2824 2920 3290 3431 3530 3760 4088 4942 5110 5264 5648 5840 6580 6862 7060 8176 9884 10220 12355 13160 13724 14120 16591 17155 19768 20440 24017 24710 25769 26320 27448 28240 33182 34310 39536 40880 48034 49420 51538 54896 66364 68620 82955 96068 98840 103076 116137 120085 128845 132728 137240 165910 180383 192136 197680 206152 232274 240170 257690 265456 274480 331820 360766 384272 412304 464548 480340 515380 580685 663640 721532 901915 929096 960680 1030760 1161370 1211143 1327280 1443064 1803830 1858192 1921360 2061520 2322740 2422286 2886128 3607660 4645480 4844572 6055715 7215320 8478001 9290960 9689144 12111430 14430640 16956002 19378288 24222860 33912004 42390005 48445720 67824008 84780010 96891440 135648016 169560020 339120040 678240080