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29993880 = 2335725101
BaseRepresentation
bin111001001101…
…0101110011000
32002102211212110
41302122232120
530134301010
62550512320
7512641500
oct162325630
962384773
1029993880
1115a26934
12a0656a0
1362a2277
143daaa00
152977120
hex1c9ab98

29993880 has 96 divisors (see below), whose sum is σ = 104693040. Its totient is φ = 6854400.

The previous prime is 29993867. The next prime is 29993881. The reversal of 29993880 is 8839992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29993881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3330 + ... + 8430.

Almost surely, 229993880 is an apocalyptic number.

29993880 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 29993880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52346520).

29993880 is an abundant number, since it is smaller than the sum of its proper divisors (74699160).

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

29993880 is a wasteful number, since it uses less digits than its factorization.

29993880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 29993880 is about 5476.6668695476. Note that the first 3 decimals coincide. The cubic root of 29993880 is about 310.7021199774.

The spelling of 29993880 in words is "twenty-nine million, nine hundred ninety-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5101 5880 10202 15303 20404 25505 30606 35707 40808 51010 61212 71414 76515 102020 107121 122424 142828 153030 178535 204040 214242 249949 285656 306060 357070 428484 499898 535605 612120 714140 749847 856968 999796 1071210 1249745 1428280 1499694 1999592 2142420 2499490 2999388 3749235 4284840 4998980 5998776 7498470 9997960 14996940 29993880