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29914170 = 235111319367
BaseRepresentation
bin111001000011…
…1010000111010
32002021210112020
41302013100322
530124223140
62545055310
7512160216
oct162072072
962253466
1029914170
1115981a60
12a027536
136274bc0
143d89946
15295d6d0
hex1c8743a

29914170 has 128 divisors (see below), whose sum is σ = 89026560. Its totient is φ = 6324480.

The previous prime is 29914153. The next prime is 29914193. The reversal of 29914170 is 7141992.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81327 + ... + 81693.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 229914170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29914170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44513280).

29914170 is an abundant number, since it is smaller than the sum of its proper divisors (59112390).

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

29914170 is a wasteful number, since it uses less digits than its factorization.

29914170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420.

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 29914170 is about 5469.3847917293. The cubic root of 29914170 is about 310.4266411421.

The spelling of 29914170 in words is "twenty-nine million, nine hundred fourteen thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 190 195 209 247 285 286 330 367 390 418 429 494 570 627 715 734 741 858 1045 1101 1235 1254 1430 1482 1835 2090 2145 2202 2470 2717 3135 3670 3705 4037 4290 4771 5434 5505 6270 6973 7410 8074 8151 9542 11010 12111 13585 13946 14313 16302 20185 20919 23855 24222 27170 28626 34865 40370 40755 41838 47710 52481 60555 69730 71565 76703 81510 90649 104595 104962 121110 143130 153406 157443 181298 209190 230109 262405 271947 314886 383515 453245 460218 524810 543894 767030 787215 906490 997139 1150545 1359735 1574430 1994278 2301090 2719470 2991417 4985695 5982834 9971390 14957085 29914170