[go: up one dir, main page]

Search a number
-
+
29137080 = 2335734687
BaseRepresentation
bin110111100100…
…1100010111000
32000211022120010
41233021202320
524424341310
62520301520
7502442520
oct157114270
960738503
1029137080
11154a1135
1299118a0
13606229b
143c26680
152858320
hex1bc98b8

29137080 has 64 divisors (see below), whose sum is σ = 99901440. Its totient is φ = 6659712.

The previous prime is 29137079. The next prime is 29137123. The reversal of 29137080 is 8073192.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16504 + ... + 18183.

It is an arithmetic number, because the mean of its divisors is an integer number (1560960).

Almost surely, 229137080 is an apocalyptic number.

29137080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29137080 is an abundant number, since it is smaller than the sum of its proper divisors (70764360).

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

29137080 is a wasteful number, since it uses less digits than its factorization.

29137080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34708 (or 34704 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 29137080 is about 5397.8773605928. The cubic root of 29137080 is about 307.7150059537.

The spelling of 29137080 in words is "twenty-nine million, one hundred thirty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 34687 69374 104061 138748 173435 208122 242809 277496 346870 416244 485618 520305 693740 728427 832488 971236 1040610 1214045 1387480 1456854 1942472 2081220 2428090 2913708 3642135 4162440 4856180 5827416 7284270 9712360 14568540 29137080