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4134480 = 2435723107
BaseRepresentation
bin1111110001011001010000
321210001102220
433301121100
52024300410
6224341040
750066610
oct17613120
97701386
104134480
112374329
121474780
13b19b4c
14798a40
1556a070
hex3f1650

4134480 has 160 divisors (see below), whose sum is σ = 15427584. Its totient is φ = 895488.

The previous prime is 4134469. The next prime is 4134497. The reversal of 4134480 is 844314.

4134480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4134480.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 38587 + ... + 38693.

Almost surely, 24134480 is an apocalyptic number.

4134480 is a gapful number since it is divisible by the number (40) 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 4134480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713792).

4134480 is an abundant number, since it is smaller than the sum of its proper divisors (11293104).

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

4134480 is a wasteful number, since it uses less digits than its factorization.

4134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4134480 is about 2033.3420764839. The cubic root of 4134480 is about 160.4994807875.

Adding to 4134480 its reverse (844314), we get a palindrome (4978794).

The spelling of 4134480 in words is "four million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 107 112 115 120 138 140 161 168 184 210 214 230 240 276 280 321 322 336 345 368 420 428 460 483 535 552 560 642 644 690 749 805 840 856 920 966 1070 1104 1284 1288 1380 1498 1605 1610 1680 1712 1840 1932 2140 2247 2415 2461 2568 2576 2760 2996 3210 3220 3745 3864 4280 4494 4830 4922 5136 5520 5992 6420 6440 7383 7490 7728 8560 8988 9660 9844 11235 11984 12305 12840 12880 14766 14980 17227 17976 19320 19688 22470 24610 25680 29532 29960 34454 35952 36915 38640 39376 44940 49220 51681 59064 59920 68908 73830 86135 89880 98440 103362 118128 137816 147660 172270 179760 196880 206724 258405 275632 295320 344540 413448 516810 590640 689080 826896 1033620 1378160 2067240 4134480