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1149838480 = 24577872609
BaseRepresentation
bin100010010001001…
…0010010010010000
32222010121211212101
41010202102102100
54323324312410
6310033010144
740331315530
oct10442222220
92863554771
101149838480
1154006573a
122810b3954
131542b06cb
14ac9d34c0
156ae2cd3a
hex44892490

1149838480 has 80 divisors (see below), whose sum is σ = 3060339840. Its totient is φ = 393578496.

The previous prime is 1149838477. The next prime is 1149838499. The reversal of 1149838480 is 848389411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1149838480.

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, 439416 + ... + 442024.

It is an arithmetic number, because the mean of its divisors is an integer number (38254248).

Almost surely, 21149838480 is an apocalyptic number.

1149838480 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 1149838480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530169920).

1149838480 is an abundant number, since it is smaller than the sum of its proper divisors (1910501360).

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

1149838480 is a wasteful number, since it uses less digits than its factorization.

1149838480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 1149838480 is about 33909.2683495236. The cubic root of 1149838480 is about 1047.6405007833.

The spelling of 1149838480 in words is "one billion, one hundred forty-nine million, eight hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 787 1574 2609 3148 3935 5218 5509 6296 7870 10436 11018 12592 13045 15740 18263 20872 22036 26090 27545 31480 36526 41744 44072 52180 55090 62960 73052 88144 91315 104360 110180 146104 182630 208720 220360 292208 365260 440720 730520 1461040 2053283 4106566 8213132 10266415 14372981 16426264 20532830 28745962 32852528 41065660 57491924 71864905 82131320 114983848 143729810 164262640 229967696 287459620 574919240 1149838480