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75450240 = 2732513099
BaseRepresentation
bin1000111111101…
…00011110000000
312020222021021100
410133310132000
5123303401430
611253054400
71604213355
oct437643600
9166867240
1075450240
1139653978
1221327400
1312829518
14a04062c
156955960
hex47f4780

75450240 has 96 divisors (see below), whose sum is σ = 260559000. Its totient is φ = 20118528.

The previous prime is 75450191. The next prime is 75450269. The reversal of 75450240 is 4205457.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 790 + ... + 12309.

Almost surely, 275450240 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 75450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130279500).

75450240 is an abundant number, since it is smaller than the sum of its proper divisors (185108760).

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

75450240 is a wasteful number, since it uses less digits than its factorization.

75450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13124 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 75450240 is about 8686.2097603040. The cubic root of 75450240 is about 422.5585320912.

Adding to 75450240 its reverse (4205457), we get a palindrome (79655697).

The spelling of 75450240 in words is "seventy-five million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 13099 26198 39297 52396 65495 78594 104792 117891 130990 157188 196485 209584 235782 261980 314376 392970 419168 471564 523960 589455 628752 785940 838336 943128 1047920 1178910 1257504 1571880 1676672 1886256 2095840 2357820 2515008 3143760 3772512 4191680 4715640 5030016 6287520 7545024 8383360 9431280 12575040 15090048 18862560 25150080 37725120 75450240