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45134040 = 2335753731
BaseRepresentation
bin1010110000101…
…1000011011000
310010221001021010
42230023003120
543023242130
64251213520
71055430060
oct254130330
9103831233
1045134040
1123527966
12131472a0
139473643
145dcc3a0
153e680b0
hex2b0b0d8

45134040 has 64 divisors (see below), whose sum is σ = 154748160. Its totient is φ = 10316160.

The previous prime is 45134039. The next prime is 45134041. The reversal of 45134040 is 4043154.

It is an interprime number because it is at equal distance from previous prime (45134039) and next prime (45134041).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 45133998 and 45134016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45134041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26026 + ... + 27705.

It is an arithmetic number, because the mean of its divisors is an integer number (2417940).

Almost surely, 245134040 is an apocalyptic number.

45134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45134040 is an abundant number, since it is smaller than the sum of its proper divisors (109614120).

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

45134040 is a wasteful number, since it uses less digits than its factorization.

45134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53752 (or 53748 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45134040 is about 6718.1872555028. The cubic root of 45134040 is about 356.0421403636.

Adding to 45134040 its reverse (4043154), we get a palindrome (49177194).

The spelling of 45134040 in words is "forty-five million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 53731 107462 161193 214924 268655 322386 376117 429848 537310 644772 752234 805965 1074620 1128351 1289544 1504468 1611930 1880585 2149240 2256702 3008936 3223860 3761170 4513404 5641755 6447720 7522340 9026808 11283510 15044680 22567020 45134040