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145227040 = 25571271021
BaseRepresentation
bin10001010011111…
…11110100100000
3101010021022001021
420221333310200
5244134231130
622224415224
73412260310
oct1051776440
9333238037
10145227040
1174a82252
1240777514
132411a57a
1415405440
15cb3a37a
hex8a7fd20

145227040 has 96 divisors (see below), whose sum is σ = 395587584. Its totient is φ = 49351680.

The previous prime is 145227029. The next prime is 145227053. The reversal of 145227040 is 40722541.

145227040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145226996 and 145227014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141730 + ... + 142750.

It is an arithmetic number, because the mean of its divisors is an integer number (4120704).

Almost surely, 2145227040 is an apocalyptic number.

145227040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197793792).

145227040 is an abundant number, since it is smaller than the sum of its proper divisors (250360544).

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

145227040 is a wasteful number, since it uses less digits than its factorization.

145227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 145227040 is about 12051.0182142423. The cubic root of 145227040 is about 525.6328453149.

Adding to 145227040 its reverse (40722541), we get a palindrome (185949581).

The spelling of 145227040 in words is "one hundred forty-five million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 127 140 160 224 254 280 508 560 635 889 1016 1021 1120 1270 1778 2032 2042 2540 3556 4064 4084 4445 5080 5105 7112 7147 8168 8890 10160 10210 14224 14294 16336 17780 20320 20420 28448 28588 32672 35560 35735 40840 57176 71120 71470 81680 114352 129667 142240 142940 163360 228704 259334 285880 518668 571760 648335 907669 1037336 1143520 1296670 1815338 2074672 2593340 3630676 4149344 4538345 5186680 7261352 9076690 10373360 14522704 18153380 20746720 29045408 36306760 72613520 145227040