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45151020 = 2234547593
BaseRepresentation
bin1010110000111…
…1001100101100
310010221220120000
42230033030230
543024313040
64251424300
71055530425
oct254171454
9103856500
1045151020
11235396a2
1213155090
13947b2a5
145dd464c
153e6d130
hex2b0f32c

45151020 has 120 divisors (see below), whose sum is σ = 144897984. Its totient is φ = 11764224.

The previous prime is 45151013. The next prime is 45151027. The reversal of 45151020 is 2015154.

45151020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45151013) and next prime (45151027).

It is a super-2 number, since 2×451510202 = 4077229214080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45150984 and 45151002.

It is not an unprimeable number, because it can be changed into a prime (45151027) 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 39 ways as a sum of consecutive naturals, for example, 75844 + ... + 76436.

Almost surely, 245151020 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 45151020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72448992).

45151020 is an abundant number, since it is smaller than the sum of its proper divisors (99746964).

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

45151020 is a wasteful number, since it uses less digits than its factorization.

45151020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 45151020 is about 6719.4508704209. The cubic root of 45151020 is about 356.0867839597.

Adding to 45151020 its reverse (2015154), we get a palindrome (47166174).

The spelling of 45151020 in words is "forty-five million, one hundred fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 270 282 324 405 423 470 540 564 593 705 810 846 940 1186 1269 1410 1620 1692 1779 2115 2372 2538 2820 2965 3558 3807 4230 5076 5337 5930 6345 7116 7614 8460 8895 10674 11860 12690 15228 16011 17790 19035 21348 25380 26685 27871 32022 35580 38070 48033 53370 55742 64044 76140 80055 83613 96066 106740 111484 139355 160110 167226 192132 240165 250839 278710 320220 334452 418065 480330 501678 557420 752517 836130 960660 1003356 1254195 1505034 1672260 2257551 2508390 3010068 3762585 4515102 5016780 7525170 9030204 11287755 15050340 22575510 45151020