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29870064 = 2432729633
BaseRepresentation
bin111000111110…
…0011111110000
32002012120000200
41301330133300
530121320224
62544115200
7511614510
oct161743760
962176020
1029870064
1115951904
12a005b00
13625aac3
143d77840
1529505c9
hex1c7c7f0

29870064 has 60 divisors (see below), whose sum is σ = 95540016. Its totient is φ = 8534016.

The previous prime is 29870059. The next prime is 29870069. The reversal of 29870064 is 46007892.

It is an interprime number because it is at equal distance from previous prime (29870059) and next prime (29870069).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29870069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13809 + ... + 15824.

Almost surely, 229870064 is an apocalyptic number.

29870064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29870064 is an abundant number, since it is smaller than the sum of its proper divisors (65669952).

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

29870064 is a wasteful number, since it uses less digits than its factorization.

29870064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29654 (or 29645 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 29870064 is about 5465.3512238465. The cubic root of 29870064 is about 310.2739998572.

The spelling of 29870064 in words is "twenty-nine million, eight hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 29633 59266 88899 118532 177798 207431 237064 266697 355596 414862 474128 533394 622293 711192 829724 1066788 1244586 1422384 1659448 1866879 2133576 2489172 3318896 3733758 4267152 4978344 7467516 9956688 14935032 29870064