Search a number
-
+
29800932 = 22371741509
BaseRepresentation
bin111000110101…
…1100111100100
32002002001012020
41301223213210
530112112212
62542423140
7511206120
oct161534744
962061166
1029800932
1115904977
129b91ab0
1362354b5
143d5a580
152939d8c
hex1c6b9e4

29800932 has 96 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 7802880.

The previous prime is 29800921. The next prime is 29800943. The reversal of 29800932 is 23900892.

It is an interprime number because it is at equal distance from previous prime (29800921) and next prime (29800943).

It is a junction number, because it is equal to n+sod(n) for n = 29800893 and 29800902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58294 + ... + 58802.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 229800932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29800932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

29800932 is an abundant number, since it is smaller than the sum of its proper divisors (56564508).

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

29800932 is a wasteful number, since it uses less digits than its factorization.

29800932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 29800932 is about 5459.0229895101. The cubic root of 29800932 is about 310.0344463977.

The spelling of 29800932 in words is "twenty-nine million, eight hundred thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 41 42 51 68 82 84 102 119 123 164 204 238 246 287 357 476 492 509 574 697 714 861 1018 1148 1394 1428 1527 1722 2036 2091 2788 3054 3444 3563 4182 4879 6108 7126 8364 8653 9758 10689 14252 14637 17306 19516 20869 21378 25959 29274 34612 41738 42756 51918 58548 60571 62607 83476 103836 121142 125214 146083 181713 242284 250428 292166 354773 363426 438249 584332 709546 726852 876498 1064319 1419092 1752996 2128638 2483411 4257276 4966822 7450233 9933644 14900466 29800932