Search a number
-
+
29189640 = 2335347701
BaseRepresentation
bin110111101011…
…0011000001000
32000220222122210
41233112120020
524433032030
62521345120
7503051664
oct157263010
960828583
1029189640
1115527677
1299381a0
13608019c
143c3b8a4
152868bb0
hex1bd6608

29189640 has 64 divisors (see below), whose sum is σ = 87946560. Its totient is φ = 7750400.

The previous prime is 29189621. The next prime is 29189651. The reversal of 29189640 is 4698192.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41290 + ... + 41990.

It is an arithmetic number, because the mean of its divisors is an integer number (1374165).

Almost surely, 229189640 is an apocalyptic number.

29189640 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 29189640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43973280).

29189640 is an abundant number, since it is smaller than the sum of its proper divisors (58756920).

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

29189640 is a wasteful number, since it uses less digits than its factorization.

29189640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 29189640 is about 5402.7437473935. The cubic root of 29189640 is about 307.8999225090.

The spelling of 29189640 in words is "twenty-nine million, one hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 701 1041 1388 1402 1735 2082 2103 2776 2804 3470 3505 4164 4206 5205 5608 6940 7010 8328 8412 10410 10515 13880 14020 16824 20820 21030 28040 41640 42060 84120 243247 486494 729741 972988 1216235 1459482 1945976 2432470 2918964 3648705 4864940 5837928 7297410 9729880 14594820 29189640