Search a number
-
+
1145754480 = 243513367229
BaseRepresentation
bin100010001001010…
…1101001101110000
32221211221100200010
41010102231031300
54321303120410
6305405254520
740251516033
oct10422551560
92854840603
101145754480
11538826332
1227b864440
131534b0840
14ac24d01a
156a8c2c20
hex444ad370

1145754480 has 80 divisors (see below), whose sum is σ = 3825067680. Its totient is φ = 282031104.

The previous prime is 1145754461. The next prime is 1145754497. The reversal of 1145754480 is 844575411.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 180495 + ... + 186734.

It is an arithmetic number, because the mean of its divisors is an integer number (47813346).

Almost surely, 21145754480 is an apocalyptic number.

1145754480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145754480 is an abundant number, since it is smaller than the sum of its proper divisors (2679313200).

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

1145754480 is a wasteful number, since it uses less digits than its factorization.

1145754480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367258 (or 367252 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 1145754480 is about 33848.9952583529. The cubic root of 1145754480 is about 1046.3986917705.

The spelling of 1145754480 in words is "one billion, one hundred forty-five million, seven hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 367229 734458 1101687 1468916 1836145 2203374 2937832 3672290 4406748 4773977 5508435 5875664 7344580 8813496 9547954 11016870 14321931 14689160 17626992 19095908 22033740 23869885 28643862 29378320 38191816 44067480 47739770 57287724 71609655 76383632 88134960 95479540 114575448 143219310 190959080 229150896 286438620 381918160 572877240 1145754480