Search a number
-
+
30696732 = 223711229
BaseRepresentation
bin111010100011…
…0010100011100
32010202120000000
41311012110130
530324243412
63013534300
7521626563
oct165062434
963676000
1030696732
1116366a00
12a344390
13648a161
144110bda
152a654dc
hex1d4651c

30696732 has 144 divisors (see below), whose sum is σ = 91610400. Its totient is φ = 8981280.

The previous prime is 30696691. The next prime is 30696739. The reversal of 30696732 is 23769603.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30696739) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058494 + ... + 1058522.

Almost surely, 230696732 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 30696732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45805200).

30696732 is an abundant number, since it is smaller than the sum of its proper divisors (60913668).

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

30696732 is a wasteful number, since it uses less digits than its factorization.

30696732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 30696732 is about 5540.4631575348. The cubic root of 30696732 is about 313.1103191511.

It can be divided in two parts, 3069 and 6732, that added together give a square (9801 = 992).

The spelling of 30696732 in words is "thirty million, six hundred ninety-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 121 132 162 174 198 242 243 261 297 319 324 348 363 396 484 486 522 594 638 726 729 783 891 957 972 1044 1089 1188 1276 1452 1458 1566 1782 1914 2178 2187 2349 2673 2871 2916 3132 3267 3509 3564 3828 4356 4374 4698 5346 5742 6534 7018 7047 8019 8613 8748 9396 9801 10527 10692 11484 13068 14036 14094 16038 17226 19602 21054 21141 24057 25839 28188 29403 31581 32076 34452 39204 42108 42282 48114 51678 58806 63162 63423 77517 84564 88209 94743 96228 103356 117612 126324 126846 155034 176418 189486 232551 253692 264627 284229 310068 352836 378972 465102 529254 568458 697653 852687 930204 1058508 1136916 1395306 1705374 2558061 2790612 3410748 5116122 7674183 10232244 15348366 30696732