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1129696080 = 24354999433
BaseRepresentation
bin100001101010101…
…1100101101010000
32220201201111200120
41003111130231100
54303200233310
6304033150240
736665154402
oct10325345520
92821644616
101129696080
1152a758427
122763bb380
1315007a526
14aa06cb72
156929eb70
hex4355cb50

1129696080 has 80 divisors (see below), whose sum is σ = 3509448000. Its totient is φ = 300616704.

The previous prime is 1129696063. The next prime is 1129696093. The reversal of 1129696080 is 806969211.

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

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, 115044 + ... + 124476.

It is an arithmetic number, because the mean of its divisors is an integer number (43868100).

Almost surely, 21129696080 is an apocalyptic number.

1129696080 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 1129696080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754724000).

1129696080 is an abundant number, since it is smaller than the sum of its proper divisors (2379751920).

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

1129696080 is a wasteful number, since it uses less digits than its factorization.

1129696080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9948 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1129696080 is about 33610.9517865829. The cubic root of 1129696080 is about 1041.4870492503.

The spelling of 1129696080 in words is "one billion, one hundred twenty-nine million, six hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 499 998 1497 1996 2495 2994 3992 4990 5988 7485 7984 9433 9980 11976 14970 18866 19960 23952 28299 29940 37732 39920 47165 56598 59880 75464 94330 113196 119760 141495 150928 188660 226392 282990 377320 452784 565980 754640 1131960 2263920 4707067 9414134 14121201 18828268 23535335 28242402 37656536 47070670 56484804 70606005 75313072 94141340 112969608 141212010 188282680 225939216 282424020 376565360 564848040 1129696080