Search a number
-
+
78989680 = 24571112823
BaseRepresentation
bin1001011010101…
…00100101110000
312111122002110201
410231110211300
5130210132210
611501004544
71646254420
oct455244560
9174562421
1078989680
1140651130
1222553754
1313498573
14a6c2480
156e0453a
hex4b54970

78989680 has 80 divisors (see below), whose sum is σ = 228985344. Its totient is φ = 24618240.

The previous prime is 78989653. The next prime is 78989737. The reversal of 78989680 is 8698987.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252 + ... + 12571.

Almost surely, 278989680 is an apocalyptic number.

78989680 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 78989680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114492672).

78989680 is an abundant number, since it is smaller than the sum of its proper divisors (149995664).

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

78989680 is a wasteful number, since it uses less digits than its factorization.

78989680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12854 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The square root of 78989680 is about 8887.6138529979. The cubic root of 78989680 is about 429.0653577231.

It can be divided in two parts, 7898 and 9680, that added together give a triangular number (17578 = T187).

The spelling of 78989680 in words is "seventy-eight million, nine hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 12823 25646 51292 64115 89761 102584 128230 141053 179522 205168 256460 282106 359044 448805 512920 564212 705265 718088 897610 987371 1025840 1128424 1410530 1436176 1795220 1974742 2256848 2821060 3590440 3949484 4936855 5642120 7180880 7898968 9873710 11284240 15797936 19747420 39494840 78989680