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75230080 = 275414761
BaseRepresentation
bin1000111101111…
…10101110000000
312020120002021021
410132332232000
5123224330310
611244235224
71602305452
oct436765600
9166502237
1075230080
1139513522
122123bb14
1312780253
149dc42d2
1569105da
hex47beb80

75230080 has 128 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 28262400.

The previous prime is 75230069. The next prime is 75230081. The reversal of 75230080 is 8003257.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75230081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1233250 + ... + 1233310.

It is an arithmetic number, because the mean of its divisors is an integer number (1494045).

Almost surely, 275230080 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 75230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

75230080 is an abundant number, since it is smaller than the sum of its proper divisors (116007680).

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

75230080 is a wasteful number, since it uses less digits than its factorization.

75230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 75230080 is about 8673.5275407414. The cubic root of 75230080 is about 422.1471301770.

The spelling of 75230080 in words is "seventy-five million, two hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 47 61 64 80 82 94 122 128 160 164 188 205 235 244 305 320 328 376 410 470 488 610 640 656 752 820 940 976 1220 1312 1504 1640 1880 1927 1952 2440 2501 2624 2867 3008 3280 3760 3854 3904 4880 5002 5248 5734 6016 6560 7520 7708 7808 9635 9760 10004 11468 12505 13120 14335 15040 15416 19270 19520 20008 22936 25010 26240 28670 30080 30832 38540 39040 40016 45872 50020 57340 61664 77080 80032 91744 100040 114680 117547 123328 154160 160064 183488 200080 229360 235094 246656 308320 320128 366976 400160 458720 470188 587735 616640 800320 917440 940376 1175470 1233280 1600640 1834880 1880752 2350940 3761504 4701880 7523008 9403760 15046016 18807520 37615040 75230080