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29875920 = 2435281443
BaseRepresentation
bin111000111110…
…1111011010000
32002012212001120
41301331323100
530122012140
62544202240
7511640544
oct161757320
962185046
1029875920
1115956248
12a009380
136260679
143d79a24
1529521d0
hex1c7ded0

29875920 has 80 divisors (see below), whose sum is σ = 93154752. Its totient is φ = 7920640.

The previous prime is 29875913. The next prime is 29875939. The reversal of 29875920 is 2957892.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67219 + ... + 67661.

Almost surely, 229875920 is an apocalyptic number.

29875920 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 29875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46577376).

29875920 is an abundant number, since it is smaller than the sum of its proper divisors (63278832).

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

29875920 is a wasteful number, since it uses less digits than its factorization.

29875920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 29875920 is about 5465.8869362620. The cubic root of 29875920 is about 310.2942748480.

The spelling of 29875920 in words is "twenty-nine million, eight hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 443 562 843 886 1124 1329 1405 1686 1772 2215 2248 2658 2810 3372 3544 4215 4430 4496 5316 5620 6645 6744 7088 8430 8860 10632 11240 13290 13488 16860 17720 21264 22480 26580 33720 35440 53160 67440 106320 124483 248966 373449 497932 622415 746898 995864 1244830 1493796 1867245 1991728 2489660 2987592 3734490 4979320 5975184 7468980 9958640 14937960 29875920