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87885930 = 2351133171
BaseRepresentation
bin1010011110100…
…00100001101010
320010101001211110
411033100201222
5134444322210
612415411150
72115006126
oct517204152
9203331743
1087885930
1145678000
1225523ab6
1315291912
14b95a586
157ab0420
hex53d086a

87885930 has 128 divisors (see below), whose sum is σ = 242860032. Its totient is φ = 20328000.

The previous prime is 87885929. The next prime is 87885949. The reversal of 87885930 is 3958878.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87885930.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1237795 + ... + 1237865.

It is an arithmetic number, because the mean of its divisors is an integer number (1897344).

Almost surely, 287885930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87885930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121430016).

87885930 is an abundant number, since it is smaller than the sum of its proper divisors (154974102).

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

87885930 is a wasteful number, since it uses less digits than its factorization.

87885930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 87885930 is about 9374.7495966559. The cubic root of 87885930 is about 444.6037460662.

The spelling of 87885930 in words is "eighty-seven million, eight hundred eighty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 71 93 110 121 142 155 165 186 213 242 310 330 341 355 363 426 465 605 682 710 726 781 930 1023 1065 1210 1331 1562 1705 1815 2046 2130 2201 2343 2662 3410 3630 3751 3905 3993 4402 4686 5115 6603 6655 7502 7810 7986 8591 10230 11005 11253 11715 13206 13310 17182 18755 19965 22010 22506 23430 24211 25773 33015 37510 39930 41261 42955 48422 51546 56265 66030 72633 82522 85910 94501 112530 121055 123783 128865 145266 189002 206305 242110 247566 257730 266321 283503 363165 412610 472505 532642 567006 618915 726330 798963 945010 1237830 1331605 1417515 1597926 2663210 2835030 2929531 3994815 5859062 7989630 8788593 14647655 17577186 29295310 43942965 87885930