Search a number
-
+
1078976880 = 243251977607
BaseRepresentation
bin100000001001111…
…1110000101110000
32210012021201000200
41000103332011300
54202204230010
6255022115200
735511103122
oct10023760560
92705251020
101078976880
11504066333
1226141bb00
131426cc977
14a3429212
1564ad1cc0
hex404fe170

1078976880 has 120 divisors (see below), whose sum is σ = 3642436512. Its totient is φ = 286228992.

The previous prime is 1078976879. The next prime is 1078976909. The reversal of 1078976880 is 886798701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10789768802 = 2328382215149068800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138037 + ... + 145643.

Almost surely, 21078976880 is an apocalyptic number.

1078976880 is a gapful number since it is divisible by the number (10) 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 1078976880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821218256).

1078976880 is an abundant number, since it is smaller than the sum of its proper divisors (2563459632).

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

1078976880 is a wasteful number, since it uses less digits than its factorization.

1078976880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7823 (or 7814 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 1078976880 is about 32847.7834868656. The cubic root of 1078976880 is about 1025.6614822027.

The spelling of 1078976880 in words is "one billion, seventy-eight million, nine hundred seventy-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 197 240 360 394 591 720 788 985 1182 1576 1773 1970 2364 2955 3152 3546 3940 4728 5910 7092 7607 7880 8865 9456 11820 14184 15214 15760 17730 22821 23640 28368 30428 35460 38035 45642 47280 60856 68463 70920 76070 91284 114105 121712 136926 141840 152140 182568 228210 273852 304280 342315 365136 456420 547704 608560 684630 912840 1095408 1369260 1498579 1825680 2738520 2997158 4495737 5477040 5994316 7492895 8991474 11988632 13487211 14985790 17982948 22478685 23977264 26974422 29971580 35965896 44957370 53948844 59943160 67436055 71931792 89914740 107897688 119886320 134872110 179829480 215795376 269744220 359658960 539488440 1078976880