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30136128 = 2631119751
BaseRepresentation
bin111001011110…
…1011101000000
32002201001222220
41302331131000
530203324003
62553531040
7514103301
oct162753500
962631886
1030136128
11160137a0
12a113a80
136321c39
1440067a8
1529a4353
hex1cbd740

30136128 has 112 divisors (see below), whose sum is σ = 91683840. Its totient is φ = 8640000.

The previous prime is 30136103. The next prime is 30136129. The reversal of 30136128 is 82163103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30136098 and 30136107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30136129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39753 + ... + 40503.

Almost surely, 230136128 is an apocalyptic number.

30136128 is a gapful number since it is divisible by the number (38) 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 30136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45841920).

30136128 is an abundant number, since it is smaller than the sum of its proper divisors (61547712).

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

30136128 is a wasteful number, since it uses less digits than its factorization.

30136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30136128 is about 5489.6382394471. The cubic root of 30136128 is about 311.1925207966.

The spelling of 30136128 in words is "thirty million, one hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 751 836 912 1056 1216 1254 1502 1672 1824 2112 2253 2508 3004 3344 3648 4506 5016 6008 6688 8261 9012 10032 12016 13376 14269 16522 18024 20064 24032 24783 28538 33044 36048 40128 42807 48064 49566 57076 66088 72096 85614 99132 114152 132176 144192 156959 171228 198264 228304 264352 313918 342456 396528 456608 470877 528704 627836 684912 793056 913216 941754 1255672 1369824 1586112 1883508 2511344 2739648 3767016 5022688 7534032 10045376 15068064 30136128