Search a number
-
+
29753140 = 2255328069
BaseRepresentation
bin111000101111…
…1111100110100
32001222121122011
41301133330310
530104100030
62541414004
7510616564
oct161377464
961877564
1029753140
1115881a7a
129b6a304
136219811
143d46da4
15292ab2a
hex1c5ff34

29753140 has 24 divisors (see below), whose sum is σ = 63662760. Its totient is φ = 11676288.

The previous prime is 29753131. The next prime is 29753173. The reversal of 29753140 is 4135792.

It can be written as a sum of positive squares in 4 ways, for example, as 1493284 + 28259856 = 1222^2 + 5316^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12975 + ... + 15094.

It is an arithmetic number, because the mean of its divisors is an integer number (2652615).

Almost surely, 229753140 is an apocalyptic number.

29753140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29753140 is an abundant number, since it is smaller than the sum of its proper divisors (33909620).

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

29753140 is a wasteful number, since it uses less digits than its factorization.

29753140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28131 (or 28129 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 29753140 is about 5454.6438930511. The cubic root of 29753140 is about 309.8686227905.

The spelling of 29753140 in words is "twenty-nine million, seven hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 28069 56138 112276 140345 280690 561380 1487657 2975314 5950628 7438285 14876570 29753140