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29910480 = 2435177331
BaseRepresentation
bin111001000011…
…0010111010000
32002021121110120
41302012113100
530124113410
62545030240
7512143365
oct162062720
962247416
1029910480
111597a206
12a025380
136273312
143d8846c
15295c570
hex1c865d0

29910480 has 80 divisors (see below), whose sum is σ = 98190144. Its totient is φ = 7505920.

The previous prime is 29910473. The next prime is 29910481. The reversal of 29910480 is 8401992.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29910481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415 + ... + 7745.

Almost surely, 229910480 is an apocalyptic number.

29910480 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 29910480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49095072).

29910480 is an abundant number, since it is smaller than the sum of its proper divisors (68279664).

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

29910480 is a wasteful number, since it uses less digits than its factorization.

29910480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 29910480 is about 5469.0474490536. The cubic root of 29910480 is about 310.4138766071.

The spelling of 29910480 in words is "twenty-nine million, nine hundred ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 7331 14662 21993 29324 36655 43986 58648 73310 87972 109965 117296 124627 146620 175944 219930 249254 293240 351888 373881 439860 498508 586480 623135 747762 879720 997016 1246270 1495524 1759440 1869405 1994032 2492540 2991048 3738810 4985080 5982096 7477620 9970160 14955240 29910480