Search a number
-
+
78860040 = 23357269349
BaseRepresentation
bin1001011001101…
…00111100001000
312111101111122020
410230310330020
5130142010130
611454124440
71645204440
oct454647410
9174344566
1078860040
1140572796
12224b0720
131345155c
14a68b120
156dcae10
hex4b34f08

78860040 has 128 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 17906688.

The previous prime is 78860017. The next prime is 78860069. The reversal of 78860040 is 4006887.

It is a junction number, because it is equal to n+sod(n) for n = 78859983 and 78860010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225786 + ... + 226134.

It is an arithmetic number, because the mean of its divisors is an integer number (2126250).

Almost surely, 278860040 is an apocalyptic number.

78860040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78860040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

78860040 is an abundant number, since it is smaller than the sum of its proper divisors (193299960).

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

78860040 is a wasteful number, since it uses less digits than its factorization.

78860040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 78860040 is about 8880.3175618893. The cubic root of 78860040 is about 428.8304979654.

The spelling of 78860040 in words is "seventy-eight million, eight hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 269 280 349 420 538 698 807 840 1047 1076 1345 1396 1614 1745 1883 2094 2152 2443 2690 2792 3228 3490 3766 4035 4188 4886 5235 5380 5649 6456 6980 7329 7532 8070 8376 9415 9772 10470 10760 11298 12215 13960 14658 15064 16140 18830 19544 20940 22596 24430 28245 29316 32280 36645 37660 41880 45192 48860 56490 58632 73290 75320 93881 97720 112980 146580 187762 225960 281643 293160 375524 469405 563286 657167 751048 938810 1126572 1314334 1408215 1877620 1971501 2253144 2628668 2816430 3285835 3755240 3943002 5257336 5632860 6571670 7886004 9857505 11265720 13143340 15772008 19715010 26286680 39430020 78860040