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235152060 = 2235111327407
BaseRepresentation
bin11100000010000…
…10001010111100
3121101110221222120
432001002022330
5440144331220
635200042540
75553521343
oct1601021274
9541427876
10235152060
11110812250
1266903450
1339944340
1423332b5a
151599ea40
hexe0422bc

235152060 has 96 divisors (see below), whose sum is σ = 773563392. Its totient is φ = 52619520.

The previous prime is 235151989. The next prime is 235152061. The reversal of 235152060 is 60251532.

It is a self number, because there is not a number n which added to its sum of digits gives 235152060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235152061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5124 + ... + 22283.

It is an arithmetic number, because the mean of its divisors is an integer number (8057952).

Almost surely, 2235152060 is an apocalyptic number.

235152060 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 235152060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386781696).

235152060 is an abundant number, since it is smaller than the sum of its proper divisors (538411332).

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

235152060 is a wasteful number, since it uses less digits than its factorization.

235152060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27443 (or 27441 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 235152060 is about 15334.6685650522. The cubic root of 235152060 is about 617.2336517344.

The spelling of 235152060 in words is "two hundred thirty-five million, one hundred fifty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 27407 54814 82221 109628 137035 164442 274070 301477 328884 356291 411105 548140 602954 712582 822210 904431 1068873 1205908 1425164 1507385 1644420 1781455 1808862 2137746 3014770 3562910 3617724 3919201 4275492 4522155 5344365 6029540 7125820 7838402 9044310 10688730 11757603 15676804 18088620 19596005 21377460 23515206 39192010 47030412 58788015 78384020 117576030 235152060