Search a number
-
+
29760696 = 233127
BaseRepresentation
bin111000110000…
…1110010111000
32002000000000000
41301201302320
530104320241
62541513000
7510650610
oct161416270
962000000
1029760696
1115887719
129b72760
1362200a4
143d49a40
15292ceb6
hex1c61cb8

29760696 has 104 divisors (see below), whose sum is σ = 95659320. Its totient is φ = 8503056.

The previous prime is 29760673. The next prime is 29760737. The reversal of 29760696 is 69606792.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 4251525 + ... + 4251531.

Almost surely, 229760696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29760696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47829660).

29760696 is an abundant number, since it is smaller than the sum of its proper divisors (65898624).

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

29760696 is an frugal number, since it uses more digits than its factorization.

29760696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 29760696 is about 5455.3364699164. The cubic root of 29760696 is about 309.8948516091.

The spelling of 29760696 in words is "twenty-nine million, seven hundred sixty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2187 2268 2916 3402 4374 4536 5103 5832 6561 6804 8748 10206 13122 13608 15309 17496 19683 20412 26244 30618 39366 40824 45927 52488 59049 61236 78732 91854 118098 122472 137781 157464 177147 183708 236196 275562 354294 367416 413343 472392 531441 551124 708588 826686 1062882 1102248 1240029 1417176 1653372 2125764 2480058 3306744 3720087 4251528 4960116 7440174 9920232 14880348 29760696