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99988590 = 235132371157
BaseRepresentation
bin1011111010110…
…11010001101110
320222010221120010
411331123101232
5201044113330
613531034050
72322613632
oct575332156
9228127503
1099988590
11514939a9
122959b926
131793b560
14d3cadc2
158ba13b0
hex5f5b46e

99988590 has 128 divisors (see below), whose sum is σ = 275208192. Its totient is φ = 23063040.

The previous prime is 99988579. The next prime is 99988591. The reversal of 99988590 is 9588999.

It is a self number, because there is not a number n which added to its sum of digits gives 99988590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99988591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636792 + ... + 636948.

It is an arithmetic number, because the mean of its divisors is an integer number (2150064).

Almost surely, 299988590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99988590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137604096).

99988590 is an abundant number, since it is smaller than the sum of its proper divisors (175219602).

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

99988590 is a wasteful number, since it uses less digits than its factorization.

99988590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 2099520, while the sum is 57.

The square root of 99988590 is about 9999.4294837256. The cubic root of 99988590 is about 464.1412291803.

The spelling of 99988590 in words is "ninety-nine million, nine hundred eighty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 71 78 115 130 138 142 157 195 213 230 299 314 345 355 390 426 471 598 690 710 785 897 923 942 1065 1495 1570 1633 1794 1846 2041 2130 2355 2769 2990 3266 3611 4082 4485 4615 4710 4899 5538 6123 7222 8165 8970 9230 9798 10205 10833 11147 12246 13845 16330 18055 20410 21229 21666 22294 24495 27690 30615 33441 36110 42458 46943 48990 54165 55735 61230 63687 66882 93886 106145 108330 111470 127374 140829 144911 167205 212290 234715 256381 281658 289822 318435 334410 434733 469430 512762 636870 704145 724555 769143 869466 1281905 1408290 1449110 1538286 2173665 2563810 3332953 3845715 4347330 6665906 7691430 9998859 16664765 19997718 33329530 49994295 99988590