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29921920 = 27576679
BaseRepresentation
bin111001000100…
…1001010000000
32002022012011021
41302021022000
530130000140
62545155224
7512221630
oct162111200
962265137
1029921920
1115987866
12a02bb14
1362785a2
143d8c6c0
152960b4a
hex1c89280

29921920 has 64 divisors (see below), whose sum is σ = 81763200. Its totient is φ = 10257408.

The previous prime is 29921911. The next prime is 29921933. The reversal of 29921920 is 2912992.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1141 + ... + 7819.

It is an arithmetic number, because the mean of its divisors is an integer number (1277550).

Almost surely, 229921920 is an apocalyptic number.

29921920 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 29921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40881600).

29921920 is an abundant number, since it is smaller than the sum of its proper divisors (51841280).

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

29921920 is an equidigital number, since it uses as much as digits as its factorization.

29921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 29921920 is about 5470.0932350372. The cubic root of 29921920 is about 310.4534467077.

The spelling of 29921920 in words is "twenty-nine million, nine hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 6679 13358 26716 33395 46753 53432 66790 93506 106864 133580 187012 213728 233765 267160 374024 427456 467530 534320 748048 854912 935060 1068640 1496096 1870120 2137280 2992192 3740240 4274560 5984384 7480480 14960960 29921920