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45144660 = 22351173937
BaseRepresentation
bin1010110000110…
…1101001010100
310010221120211110
42230031221110
543024112120
64251335020
71055503041
oct254155124
9103846743
1045144660
1123534940
1213151470
139478422
145dd21c8
153e6b2e0
hex2b0da54

45144660 has 96 divisors (see below), whose sum is σ = 139934592. Its totient is φ = 10782720.

The previous prime is 45144623. The next prime is 45144661. The reversal of 45144660 is 6644154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45144661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47712 + ... + 48648.

It is an arithmetic number, because the mean of its divisors is an integer number (1457652).

Almost surely, 245144660 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 45144660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69967296).

45144660 is an abundant number, since it is smaller than the sum of its proper divisors (94789932).

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

45144660 is a wasteful number, since it uses less digits than its factorization.

45144660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45144660 is about 6718.9776007961. The cubic root of 45144660 is about 356.0700636413.

The spelling of 45144660 in words is "forty-five million, one hundred forty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 73 110 132 146 165 219 220 292 330 365 438 660 730 803 876 937 1095 1460 1606 1874 2190 2409 2811 3212 3748 4015 4380 4685 4818 5622 8030 9370 9636 10307 11244 12045 14055 16060 18740 20614 24090 28110 30921 41228 48180 51535 56220 61842 68401 103070 123684 136802 154605 205203 206140 273604 309210 342005 410406 618420 684010 752411 820812 1026015 1368020 1504822 2052030 2257233 3009644 3762055 4104060 4514466 7524110 9028932 11286165 15048220 22572330 45144660