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29960424 = 23321332009
BaseRepresentation
bin111001001001…
…0100011101000
32002101010222100
41302102203220
530132213144
62550053400
7512442114
oct162224350
962333870
1029960424
1115a0378a
12a04a260
13628cc80
143d9c744
15296c269
hex1c928e8

29960424 has 48 divisors (see below), whose sum is σ = 87387300. Its totient is φ = 9218304.

The previous prime is 29960419. The next prime is 29960429. The reversal of 29960424 is 42406992.

29960424 is a `hidden beast` number, since 29 + 9 + 604 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (29960419) and next prime (29960429).

It can be written as a sum of positive squares in 2 ways, for example, as 21068100 + 8892324 = 4590^2 + 2982^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29960429) 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 11 ways as a sum of consecutive naturals, for example, 15069 + ... + 16940.

Almost surely, 229960424 is an apocalyptic number.

29960424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29960424 is an abundant number, since it is smaller than the sum of its proper divisors (57426876).

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

29960424 is a wasteful number, since it uses less digits than its factorization.

29960424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32034 (or 32027 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 29960424 is about 5473.6116047816. The cubic root of 29960424 is about 310.5865550975.

The spelling of 29960424 in words is "twenty-nine million, nine hundred sixty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 32009 64018 96027 128036 192054 256072 288081 384108 416117 576162 768216 832234 1152324 1248351 1664468 2304648 2496702 3328936 3745053 4993404 7490106 9986808 14980212 29960424