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29114960 = 245751991
BaseRepresentation
bin110111100010…
…0001001010000
32000210012012212
41233010021100
524423134320
62520011252
7502321160
oct157041120
960705185
1029114960
1115486556
129900b28
1360551b4
143c1c5a0
1528519c5
hex1bc4250

29114960 has 40 divisors (see below), whose sum is σ = 77364096. Its totient is φ = 9982080.

The previous prime is 29114957. The next prime is 29114963. The reversal of 29114960 is 6941192.

It is an interprime number because it is at equal distance from previous prime (29114957) and next prime (29114963).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29114963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25436 + ... + 26555.

Almost surely, 229114960 is an apocalyptic number.

29114960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29114960 is an abundant number, since it is smaller than the sum of its proper divisors (48249136).

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

29114960 is a wasteful number, since it uses less digits than its factorization.

29114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52011 (or 52005 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 29114960 is about 5395.8280180154. The cubic root of 29114960 is about 307.6371168959.

It can be divided in two parts, 291 and 14960, that added together give a palindrome (15251).

The spelling of 29114960 in words is "twenty-nine million, one hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 51991 103982 207964 259955 363937 415928 519910 727874 831856 1039820 1455748 1819685 2079640 2911496 3639370 4159280 5822992 7278740 14557480 29114960