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29244160 = 285113167
BaseRepresentation
bin110111110001…
…1101100000000
32001000202110001
41233203230000
524441303120
62522445344
7503366641
oct157435400
961022401
1029244160
1115564630
129963854
13609bc4a
143c536c8
152879e0a
hex1be3b00

29244160 has 144 divisors (see below), whose sum is σ = 80059392. Its totient is φ = 10137600.

The previous prime is 29244143. The next prime is 29244161. The reversal of 29244160 is 6144292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29244161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436447 + ... + 436513.

It is an arithmetic number, because the mean of its divisors is an integer number (555968).

Almost surely, 229244160 is an apocalyptic number.

29244160 is a gapful number since it is divisible by the number (20) 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 29244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40029696).

29244160 is an abundant number, since it is smaller than the sum of its proper divisors (50815232).

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

29244160 is a wasteful number, since it uses less digits than its factorization.

29244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 29244160 is about 5407.7869780530. The cubic root of 29244160 is about 308.0915003346.

The spelling of 29244160 in words is "twenty-nine million, two hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 67 80 88 110 124 128 134 155 160 176 220 248 256 268 310 320 335 341 352 440 496 536 620 640 670 682 704 737 880 992 1072 1240 1280 1340 1364 1408 1474 1705 1760 1984 2077 2144 2480 2680 2728 2816 2948 3410 3520 3685 3968 4154 4288 4960 5360 5456 5896 6820 7040 7370 7936 8308 8576 9920 10385 10720 10912 11792 13640 14080 14740 16616 17152 19840 20770 21440 21824 22847 23584 27280 29480 33232 39680 41540 42880 43648 45694 47168 54560 58960 66464 83080 85760 87296 91388 94336 109120 114235 117920 132928 166160 182776 188672 218240 228470 235840 265856 332320 365552 436480 456940 471680 531712 664640 731104 913880 943360 1329280 1462208 1827760 2658560 2924416 3655520 5848832 7311040 14622080 29244160