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30356136 = 2332232797
BaseRepresentation
bin111001111001…
…1001010101000
32010010020210100
41303303022220
530232344021
63002345400
7516010566
oct163631250
963106710
1030356136
1116154018
12a1bb260
13639b115
144062a36
1529e9626
hex1cf32a8

30356136 has 72 divisors (see below), whose sum is σ = 86052330. Its totient is φ = 9666624.

The previous prime is 30356111. The next prime is 30356141. The reversal of 30356136 is 63165303.

It can be written as a sum of positive squares in only one way, i.e., 26071236 + 4284900 = 5106^2 + 2070^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 37690 + ... + 38486.

Almost surely, 230356136 is an apocalyptic number.

30356136 is a gapful number since it is divisible by the number (36) 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 30356136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43026165).

30356136 is an abundant number, since it is smaller than the sum of its proper divisors (55696194).

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

30356136 is a wasteful number, since it uses less digits than its factorization.

30356136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 30356136 is about 5509.6402786389. The cubic root of 30356136 is about 311.9479696274.

The spelling of 30356136 in words is "thirty million, three hundred fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 797 828 1058 1587 1594 1656 2116 2391 3174 3188 4232 4761 4782 6348 6376 7173 9522 9564 12696 14346 18331 19044 19128 28692 36662 38088 54993 57384 73324 109986 146648 164979 219972 329958 421613 439944 659916 843226 1264839 1319832 1686452 2529678 3372904 3794517 5059356 7589034 10118712 15178068 30356136