Search a number
-
+
78754680 = 23345109223
BaseRepresentation
bin1001011000110…
…11001101111000
312111012011010000
410230123031320
5130130122210
611451553000
71644255324
oct454331570
9174164100
1078754680
1140500614
122245b760
1313415604
14a660984
156da9ac0
hex4b1b378

78754680 has 160 divisors (see below), whose sum is σ = 268329600. Its totient is φ = 20715264.

The previous prime is 78754679. The next prime is 78754717. The reversal of 78754680 is 8645787.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353049 + ... + 353271.

It is an arithmetic number, because the mean of its divisors is an integer number (1677060).

Almost surely, 278754680 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 78754680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134164800).

78754680 is an abundant number, since it is smaller than the sum of its proper divisors (189574920).

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

78754680 is a wasteful number, since it uses less digits than its factorization.

78754680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 78754680 is about 8874.3833588594. The cubic root of 78754680 is about 428.6394349224.

The spelling of 78754680 in words is "seventy-eight million, seven hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 109 120 135 162 180 216 218 223 270 324 327 360 405 436 446 540 545 648 654 669 810 872 892 981 1080 1090 1115 1308 1338 1620 1635 1784 1962 2007 2180 2230 2616 2676 2943 3240 3270 3345 3924 4014 4360 4460 4905 5352 5886 6021 6540 6690 7848 8028 8829 8920 9810 10035 11772 12042 13080 13380 14715 16056 17658 18063 19620 20070 23544 24084 24307 26760 29430 30105 35316 36126 39240 40140 44145 48168 48614 58860 60210 70632 72252 72921 80280 88290 90315 97228 117720 120420 121535 144504 145842 176580 180630 194456 218763 240840 243070 291684 353160 361260 364605 437526 486140 583368 656289 722520 729210 875052 972280 1093815 1312578 1458420 1750104 1968867 2187630 2625156 2916840 3281445 3937734 4375260 5250312 6562890 7875468 8750520 9844335 13125780 15750936 19688670 26251560 39377340 78754680