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75220640 = 2551179541
BaseRepresentation
bin1000111101111…
…00011010100000
312020112121022122
410132330122200
5123224030030
611244123412
71602236105
oct436743240
9166477278
1075220640
1139507420
1221236568
1312778b71
149dc0aac
15690c8e5
hex47bc6a0

75220640 has 96 divisors (see below), whose sum is σ = 196680960. Its totient is φ = 26956800.

The previous prime is 75220627. The next prime is 75220681. The reversal of 75220640 is 4602257.

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 15 ways as a sum of consecutive naturals, for example, 138770 + ... + 139310.

It is an arithmetic number, because the mean of its divisors is an integer number (2048760).

Almost surely, 275220640 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 75220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98340480).

75220640 is an abundant number, since it is smaller than the sum of its proper divisors (121460320).

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

75220640 is a wasteful number, since it uses less digits than its factorization.

75220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 75220640 is about 8672.9833390823. The cubic root of 75220640 is about 422.1294721888.

Adding to 75220640 its reverse (4602257), we get a palindrome (79822897).

The spelling of 75220640 in words is "seventy-five million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 79 80 88 110 158 160 176 220 316 352 395 440 541 632 790 869 880 1082 1264 1580 1738 1760 2164 2528 2705 3160 3476 4328 4345 5410 5951 6320 6952 8656 8690 10820 11902 12640 13904 17312 17380 21640 23804 27808 29755 34760 42739 43280 47608 59510 69520 85478 86560 95216 119020 139040 170956 190432 213695 238040 341912 427390 470129 476080 683824 854780 940258 952160 1367648 1709560 1880516 2350645 3419120 3761032 4701290 6838240 7522064 9402580 15044128 18805160 37610320 75220640