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29140720 = 2457173061
BaseRepresentation
bin110111100101…
…0011011110000
32000211111112221
41233022123300
524430000340
62520330424
7502456240
oct157123360
960744487
1029140720
11154a3944
129913a14
136063b3b
143c27b20
15285944a
hex1bca6f0

29140720 has 80 divisors (see below), whose sum is σ = 82012608. Its totient is φ = 9400320.

The previous prime is 29140691. The next prime is 29140723. The reversal of 29140720 is 2704192.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29140723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7990 + ... + 11050.

Almost surely, 229140720 is an apocalyptic number.

29140720 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 29140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41006304).

29140720 is an abundant number, since it is smaller than the sum of its proper divisors (52871888).

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

29140720 is a wasteful number, since it uses less digits than its factorization.

29140720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 29140720 is about 5398.2145196352. The cubic root of 29140720 is about 307.7278193629.

The spelling of 29140720 in words is "twenty-nine million, one hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 3061 4760 6122 9520 12244 15305 21427 24488 30610 42854 48976 52037 61220 85708 104074 107135 122440 171416 208148 214270 244880 260185 342832 364259 416296 428540 520370 728518 832592 857080 1040740 1457036 1714160 1821295 2081480 2914072 3642590 4162960 5828144 7285180 14570360 29140720