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1149640080 = 24354790167
BaseRepresentation
bin100010010000110…
…0001110110010000
32222010020202201020
41010201201312100
54323301440310
6310024435440
740326531231
oct10441416620
92863222636
101149640080
1153aa3a676
12281018b80
13154241304
14ac981088
156adde170
hex44861d90

1149640080 has 40 divisors (see below), whose sum is σ = 3563884992. Its totient is φ = 306570624.

The previous prime is 1149640057. The next prime is 1149640109. The reversal of 1149640080 is 800469411.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2394844 + ... + 2395323.

Almost surely, 21149640080 is an apocalyptic number.

1149640080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1149640080 is an abundant number, since it is smaller than the sum of its proper divisors (2414244912).

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

1149640080 is a wasteful number, since it uses less digits than its factorization.

1149640080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790183 (or 4790177 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1149640080 is about 33906.3427694583. The cubic root of 1149640080 is about 1047.5802419340.

The spelling of 1149640080 in words is "one billion, one hundred forty-nine million, six hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4790167 9580334 14370501 19160668 23950835 28741002 38321336 47901670 57482004 71852505 76642672 95803340 114964008 143705010 191606680 229928016 287410020 383213360 574820040 1149640080