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29101320 = 23325229353
BaseRepresentation
bin110111100000…
…0110100001000
32000202111111200
41233000310020
524422220240
62515424200
7502233333
oct157006410
960674450
1029101320
1115477286
1298b5060
13604bc21
143c1761a
15284c930
hex1bc0d08

29101320 has 96 divisors (see below), whose sum is σ = 95261400. Its totient is φ = 7704576.

The previous prime is 29101313. The next prime is 29101327. The reversal of 29101320 is 2310192.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29101313) and next prime (29101327).

It can be written as a sum of positive squares in 4 ways, for example, as 27311076 + 1790244 = 5226^2 + 1338^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 29101293 and 29101302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29101327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82264 + ... + 82616.

Almost surely, 229101320 is an apocalyptic number.

29101320 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 29101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47630700).

29101320 is an abundant number, since it is smaller than the sum of its proper divisors (66160080).

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

29101320 is a wasteful number, since it uses less digits than its factorization.

29101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 29101320 is about 5394.5639304767. The cubic root of 29101320 is about 307.5890679922.

The spelling of 29101320 in words is "twenty-nine million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 353 360 458 687 706 916 1059 1145 1374 1412 1765 1832 2061 2118 2290 2748 2824 3177 3435 3530 4122 4236 4580 5295 5496 6354 6870 7060 8244 8472 9160 10305 10590 12708 13740 14120 15885 16488 20610 21180 25416 27480 31770 41220 42360 63540 80837 82440 127080 161674 242511 323348 404185 485022 646696 727533 808370 970044 1212555 1455066 1616740 1940088 2425110 2910132 3233480 3637665 4850220 5820264 7275330 9700440 14550660 29101320