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45136020 = 223517219137
BaseRepresentation
bin1010110000101…
…1100010010100
310010221010222110
42230023202110
543023323040
64251231020
71055435616
oct254134224
9103833873
1045136020
11235293a6
1213148470
139474507
145dccdb6
153e68980
hex2b0b894

45136020 has 144 divisors (see below), whose sum is σ = 142349760. Its totient is φ = 10653696.

The previous prime is 45136009. The next prime is 45136073. The reversal of 45136020 is 2063154.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 329392 + ... + 329528.

It is an arithmetic number, because the mean of its divisors is an integer number (988540).

Almost surely, 245136020 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 45136020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71174880).

45136020 is an abundant number, since it is smaller than the sum of its proper divisors (97213740).

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

45136020 is a wasteful number, since it uses less digits than its factorization.

45136020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45136020 is about 6718.3346150664. The cubic root of 45136020 is about 356.0473467306.

Adding to 45136020 its reverse (2063154), we get a palindrome (47199174).

The spelling of 45136020 in words is "forty-five million, one hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 137 170 190 204 228 255 274 285 289 323 340 380 411 510 548 570 578 646 685 822 867 969 1020 1140 1156 1292 1370 1445 1615 1644 1734 1938 2055 2329 2603 2740 2890 3230 3468 3876 4110 4335 4658 4845 5206 5491 5780 6460 6987 7809 8220 8670 9316 9690 10412 10982 11645 13015 13974 15618 16473 17340 19380 21964 23290 26030 27455 27948 31236 32946 34935 39045 39593 44251 46580 52060 54910 65892 69870 78090 79186 82365 88502 109820 118779 132753 139740 156180 158372 164730 177004 197965 221255 237558 265506 329460 395930 442510 475116 531012 593895 663765 752267 791860 885020 1187790 1327530 1504534 2256801 2375580 2655060 3009068 3761335 4513602 7522670 9027204 11284005 15045340 22568010 45136020