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29927520 = 2532572969
BaseRepresentation
bin111001000101…
…0100001100000
32002022110211200
41302022201200
530130140040
62545241200
7512244150
oct162124140
962273750
1029927520
1115990a97
12a033200
13627acbc
143d90760
152962630
hex1c8a860

29927520 has 144 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 6838272.

The previous prime is 29927509. The next prime is 29927537. The reversal of 29927520 is 2572992.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8596 + ... + 11564.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 229927520 is an apocalyptic number.

29927520 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 29927520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

29927520 is an abundant number, since it is smaller than the sum of its proper divisors (86829120).

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

29927520 is a wasteful number, since it uses less digits than its factorization.

29927520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 29927520 is about 5470.6050853630. The cubic root of 29927520 is about 310.4728130101.

The spelling of 29927520 in words is "twenty-nine million, nine hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 2969 3360 5040 5938 8907 10080 11876 14845 17814 20783 23752 26721 29690 35628 41566 44535 47504 53442 59380 62349 71256 83132 89070 95008 103915 106884 118760 124698 133605 142512 166264 178140 187047 207830 213768 237520 249396 267210 285024 311745 332528 356280 374094 415660 427536 475040 498792 534420 623490 665056 712560 748188 831320 855072 935235 997584 1068840 1246980 1425120 1496376 1662640 1870470 1995168 2137680 2493960 2992752 3325280 3740940 4275360 4987920 5985504 7481880 9975840 14963760 29927520