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45399060 = 223257137263
BaseRepresentation
bin1010110100101…
…1110000010100
310011102111210200
42231023300110
543110232220
64301020500
71060612530
oct255136024
9104374720
1045399060
1123698a93
1213254730
139537165
14605abc0
153ebb890
hex2b4bc14

45399060 has 144 divisors (see below), whose sum is σ = 159134976. Its totient is φ = 10262016.

The previous prime is 45399059. The next prime is 45399073. The reversal of 45399060 is 6099354.

It is a super-2 number, since 2×453990602 = 4122149297767200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172489 + ... + 172751.

It is an arithmetic number, because the mean of its divisors is an integer number (1105104).

Almost surely, 245399060 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 45399060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79567488).

45399060 is an abundant number, since it is smaller than the sum of its proper divisors (113735916).

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

45399060 is a wasteful number, since it uses less digits than its factorization.

45399060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 45399060 is about 6737.8824566773. The cubic root of 45399060 is about 356.7376553413.

The spelling of 45399060 in words is "forty-five million, three hundred ninety-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 137 140 180 210 252 263 274 315 411 420 526 548 630 685 789 822 959 1052 1233 1260 1315 1370 1578 1644 1841 1918 2055 2367 2466 2630 2740 2877 3156 3682 3836 3945 4110 4734 4795 4932 5260 5523 5754 6165 7364 7890 8220 8631 9205 9468 9590 11046 11508 11835 12330 14385 15780 16569 17262 18410 19180 22092 23670 24660 27615 28770 33138 34524 36031 36820 43155 47340 55230 57540 66276 72062 82845 86310 108093 110460 144124 165690 172620 180155 216186 252217 324279 331380 360310 432372 504434 540465 648558 720620 756651 1008868 1080930 1261085 1297116 1513302 1621395 2161860 2269953 2522170 3026604 3242790 3783255 4539906 5044340 6485580 7566510 9079812 11349765 15133020 22699530 45399060