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545132040 = 233519373641
BaseRepresentation
bin100000011111100…
…000111000001000
31101222202120120120
4200133200320020
52104023211130
6130032023240
716336355145
oct4037407010
91358676516
10545132040
1125a792852
12132691b20
1388c2784b
14525833cc
1532cd0910
hex207e0e08

545132040 has 128 divisors (see below), whose sum is σ = 1728777600. Its totient is φ = 137134080.

The previous prime is 545132017. The next prime is 545132041. The reversal of 545132040 is 40231545.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 545132040.

It is not an unprimeable number, because it can be changed into a prime (545132041) 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 31 ways as a sum of consecutive naturals, for example, 850120 + ... + 850760.

It is an arithmetic number, because the mean of its divisors is an integer number (13506075).

Almost surely, 2545132040 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 545132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864388800).

545132040 is an abundant number, since it is smaller than the sum of its proper divisors (1183645560).

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

545132040 is a wasteful number, since it uses less digits than its factorization.

545132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 545132040 is about 23348.0628746798. The cubic root of 545132040 is about 816.8968776697.

Adding to 545132040 its reverse (40231545), we get a palindrome (585363585).

The spelling of 545132040 in words is "five hundred forty-five million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 373 380 456 570 641 746 760 1119 1140 1282 1492 1865 1923 2238 2280 2564 2984 3205 3730 3846 4476 5128 5595 6410 7087 7460 7692 8952 9615 11190 12179 12820 14174 14920 15384 19230 21261 22380 24358 25640 28348 35435 36537 38460 42522 44760 48716 56696 60895 70870 73074 76920 85044 97432 106305 121790 141740 146148 170088 182685 212610 239093 243580 283480 292296 365370 425220 478186 487160 717279 730740 850440 956372 1195465 1434558 1461480 1912744 2390930 2869116 3586395 4542767 4781860 5738232 7172790 9085534 9563720 13628301 14345580 18171068 22713835 27256602 28691160 36342136 45427670 54513204 68141505 90855340 109026408 136283010 181710680 272566020 545132040