Search a number
-
+
29070760 = 23519291319
BaseRepresentation
bin110111011100…
…1010110101000
32000200221120211
41232321112220
524420231020
62515030504
7502045255
oct156712650
960627524
1029070760
1115456324
12989b434
13603b044
143c0a42c
15284385a
hex1bb95a8

29070760 has 64 divisors (see below), whose sum is σ = 71280000. Its totient is φ = 10628352.

The previous prime is 29070757. The next prime is 29070761. The reversal of 29070760 is 6707092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29070761) 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, 21381 + ... + 22699.

It is an arithmetic number, because the mean of its divisors is an integer number (1113750).

Almost surely, 229070760 is an apocalyptic number.

29070760 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 29070760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35640000).

29070760 is an abundant number, since it is smaller than the sum of its proper divisors (42209240).

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

29070760 is a wasteful number, since it uses less digits than its factorization.

29070760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 29070760 is about 5391.7307054414. The cubic root of 29070760 is about 307.4813613750.

The spelling of 29070760 in words is "twenty-nine million, seventy thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 1319 2204 2638 2755 4408 5276 5510 6595 10552 11020 13190 22040 25061 26380 38251 50122 52760 76502 100244 125305 153004 191255 200488 250610 306008 382510 501220 726769 765020 1002440 1453538 1530040 2907076 3633845 5814152 7267690 14535380 29070760