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29014440 = 23357132657
BaseRepresentation
bin110111010101…
…1100110101000
32000121002022220
41232223212220
524411430230
62513514040
7501422130
oct156534650
960532286
1029014440
1115417a84
129872920
13601b510
143bd3ac0
152831d10
hex1bab9a8

29014440 has 128 divisors (see below), whose sum is σ = 107170560. Its totient is φ = 6119424.

The previous prime is 29014421. The next prime is 29014457. The reversal of 29014440 is 4441092.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29014440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9592 + ... + 12248.

It is an arithmetic number, because the mean of its divisors is an integer number (837270).

Almost surely, 229014440 is an apocalyptic number.

29014440 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 29014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53585280).

29014440 is an abundant number, since it is smaller than the sum of its proper divisors (78156120).

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

29014440 is a wasteful number, since it uses less digits than its factorization.

29014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 29014440 is about 5386.5053606211. The cubic root of 29014440 is about 307.2826675037.

The spelling of 29014440 in words is "twenty-nine million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2657 2730 3640 5314 5460 7971 10628 10920 13285 15942 18599 21256 26570 31884 34541 37198 39855 53140 55797 63768 69082 74396 79710 92995 103623 106280 111594 138164 148792 159420 172705 185990 207246 223188 241787 276328 278985 318840 345410 371980 414492 446376 483574 518115 557970 690820 725361 743960 828984 967148 1036230 1115940 1208935 1381640 1450722 1934296 2072460 2231880 2417870 2901444 3626805 4144920 4835740 5802888 7253610 9671480 14507220 29014440