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45014420 = 2251131989
BaseRepresentation
bin1010101110110…
…1110110010100
310010200222011202
42223231312110
543010430140
64244452032
71054421243
oct253556624
9103628152
1045014420
1123456000
12130aa018
139431069
145d9a95a
153e42915
hex2aedd94

45014420 has 96 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 15333120.

The previous prime is 45014413. The next prime is 45014423. The reversal of 45014420 is 2441054.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45014392 and 45014401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45014423) 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, 505736 + ... + 505824.

It is an arithmetic number, because the mean of its divisors is an integer number (1152900).

Almost surely, 245014420 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 45014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55339200).

45014420 is an abundant number, since it is smaller than the sum of its proper divisors (65663980).

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

45014420 is a wasteful number, since it uses less digits than its factorization.

45014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 45014420 is about 6709.2786497507. The cubic root of 45014420 is about 355.7273192815.

Adding to 45014420 its reverse (2441054), we get a palindrome (47455474).

The spelling of 45014420 in words is "forty-five million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 89 95 110 121 178 190 209 220 242 356 380 418 445 484 605 836 890 979 1045 1210 1331 1691 1780 1958 2090 2299 2420 2662 3382 3916 4180 4598 4895 5324 6655 6764 8455 9196 9790 10769 11495 13310 16910 18601 19580 21538 22990 25289 26620 33820 37202 43076 45980 50578 53845 74404 93005 101156 107690 118459 126445 186010 204611 215380 236918 252890 372020 409222 473836 505780 592295 818444 1023055 1184590 2046110 2250721 2369180 4092220 4501442 9002884 11253605 22507210 45014420