Search a number
-
+
1004184480 = 253513212379
BaseRepresentation
bin111011110110101…
…010001110100000
32120222112212010210
4323312222032200
54024032400410
6243351054120
733612266355
oct7366521640
92528485123
101004184480
11475921732
12240371340
13130073a00
149751a62c
155d25b220
hex3bdaa3a0

1004184480 has 144 divisors (see below), whose sum is σ = 3425496480. Its totient is φ = 247163904.

The previous prime is 1004184473. The next prime is 1004184487. The reversal of 1004184480 is 844814001.

1004184480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1004184473) and next prime (1004184487).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1004184487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74931 + ... + 87309.

It is an arithmetic number, because the mean of its divisors is an integer number (23788170).

Almost surely, 21004184480 is an apocalyptic number.

1004184480 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 1004184480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712748240).

1004184480 is an abundant number, since it is smaller than the sum of its proper divisors (2421312000).

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

1004184480 is a wasteful number, since it uses less digits than its factorization.

1004184480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12423 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 1004184480 is about 31688.8699703855. The cubic root of 1004184480 is about 1001.3928856355.

Adding to 1004184480 its reverse (844814001), we get a palindrome (1848998481).

The spelling of 1004184480 in words is "one billion, four million, one hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 624 676 780 845 1014 1040 1248 1352 1560 1690 2028 2080 2535 2704 3120 3380 4056 5070 5408 6240 6760 8112 10140 12379 13520 16224 20280 24758 27040 37137 40560 49516 61895 74274 81120 99032 123790 148548 160927 185685 198064 247580 297096 321854 371370 396128 482781 495160 594192 643708 742740 804635 965562 990320 1188384 1287416 1485480 1609270 1931124 1980640 2092051 2413905 2574832 2970960 3218540 3862248 4184102 4827810 5149664 5941920 6276153 6437080 7724496 8368204 9655620 10460255 12552306 12874160 15448992 16736408 19311240 20920510 25104612 25748320 31380765 33472816 38622480 41841020 50209224 62761530 66945632 77244960 83682040 100418448 125523060 167364080 200836896 251046120 334728160 502092240 1004184480