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1146054320 = 245171376151
BaseRepresentation
bin100010001001111…
…0110011010110000
32221212111120222022
41010103312122300
54321342214240
6305415531012
740254205145
oct10423663260
92855446868
101146054320
11538a10634
1227b989a68
13153587168
14ac2ca3cc
156a9319b5
hex444f66b0

1146054320 has 80 divisors (see below), whose sum is σ = 2842371648. Its totient is φ = 428236800.

The previous prime is 1146054319. The next prime is 1146054421. The reversal of 1146054320 is 234506411.

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 1146054320.

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, 183245 + ... + 189395.

Almost surely, 21146054320 is an apocalyptic number.

1146054320 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 1146054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421185824).

1146054320 is an abundant number, since it is smaller than the sum of its proper divisors (1696317328).

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

1146054320 is a wasteful number, since it uses less digits than its factorization.

1146054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1146054320 is about 33853.4240513423. The cubic root of 1146054320 is about 1046.4899634533.

The spelling of 1146054320 in words is "one billion, one hundred forty-six million, fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 137 170 272 274 340 548 680 685 1096 1360 1370 2192 2329 2740 4658 5480 6151 9316 10960 11645 12302 18632 23290 24604 30755 37264 46580 49208 61510 93160 98416 104567 123020 186320 209134 246040 418268 492080 522835 836536 842687 1045670 1673072 1685374 2091340 3370748 4182680 4213435 6741496 8365360 8426870 13482992 14325679 16853740 28651358 33707480 57302716 67414960 71628395 114605432 143256790 229210864 286513580 573027160 1146054320