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78864060 = 223511192331
BaseRepresentation
bin1001011001101…
…01111010111100
312111101201011010
410230311322330
5130142122220
611454155220
71645222242
oct454657274
9174351133
1078864060
1140575810
12224b2b10
1313453332
14a68c792
156dcc1e0
hex4b35ebc

78864060 has 144 divisors (see below), whose sum is σ = 255007872. Its totient is φ = 18057600.

The previous prime is 78864059. The next prime is 78864067. The reversal of 78864060 is 6046887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78864067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238095 + ... + 238425.

It is an arithmetic number, because the mean of its divisors is an integer number (1770888).

Almost surely, 278864060 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 78864060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127503936).

78864060 is an abundant number, since it is smaller than the sum of its proper divisors (176143812).

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

78864060 is a wasteful number, since it uses less digits than its factorization.

78864060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 78864060 is about 8880.5439022618. The cubic root of 78864060 is about 428.8377845849.

The spelling of 78864060 in words is "seventy-eight million, eight hundred sixty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 331 361 380 418 570 627 660 662 722 836 993 1045 1083 1140 1254 1324 1444 1655 1805 1986 2090 2166 2508 3135 3310 3610 3641 3971 3972 4180 4332 4965 5415 6270 6289 6620 7220 7282 7942 9930 10830 10923 11913 12540 12578 14564 15884 18205 18867 19855 19860 21660 21846 23826 25156 31445 36410 37734 39710 43692 47652 54615 59565 62890 69179 72820 75468 79420 94335 109230 119130 119491 125780 138358 188670 207537 218460 238260 238982 276716 345895 358473 377340 415074 477964 597455 691790 716946 830148 1037685 1194910 1314401 1383580 1433892 1792365 2075370 2389820 2628802 3584730 3943203 4150740 5257604 6572005 7169460 7886406 13144010 15772812 19716015 26288020 39432030 78864060