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141045600 = 25352173457
BaseRepresentation
bin10000110100000…
…10111101100000
3100211101212012010
420122002331200
5242101424400
621555032520
73331603443
oct1032027540
9324355163
10141045600
1172686713
123b29b740
13232b5247
1414a3765a
15c5b1450
hex8682f60

141045600 has 144 divisors (see below), whose sum is σ = 486250128. Its totient is φ = 35389440.

The previous prime is 141045587. The next prime is 141045601. The reversal of 141045600 is 6540141.

It is a super-2 number, since 2×1410456002 = 39787722558720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141045601) 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 23 ways as a sum of consecutive naturals, for example, 39072 + ... + 42528.

It is an arithmetic number, because the mean of its divisors is an integer number (3376737).

Almost surely, 2141045600 is an apocalyptic number.

141045600 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 141045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

141045600 is an abundant number, since it is smaller than the sum of its proper divisors (345204528).

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

141045600 is a wasteful number, since it uses less digits than its factorization.

141045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 141045600 is about 11876.2620382004. The cubic root of 141045600 is about 520.5388890745.

Adding to 141045600 its reverse (6540141), we get a palindrome (147585741).

The spelling of 141045600 in words is "one hundred forty-one million, forty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 3457 4080 5100 6800 6914 8160 10200 10371 13600 13828 17285 20400 20742 27656 34570 40800 41484 51855 55312 58769 69140 82968 86425 103710 110624 117538 138280 165936 172850 176307 207420 235076 259275 276560 293845 331872 345700 352614 414840 470152 518550 553120 587690 691400 705228 829680 881535 940304 1037100 1175380 1382800 1410456 1469225 1659360 1763070 1880608 2074200 2350760 2765600 2820912 2938450 3526140 4148400 4407675 4701520 5641824 5876900 7052280 8296800 8815350 9403040 11753800 14104560 17630700 23507600 28209120 35261400 47015200 70522800 141045600