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99988440 = 23358310039
BaseRepresentation
bin1011111010110…
…11001111011000
320222010221100120
411331123033120
5201044112230
613531033240
72322613326
oct575331730
9228127316
1099988440
1151493882
122959b820
131793b476
14d3cad16
158ba1310
hex5f5b3d8

99988440 has 64 divisors (see below), whose sum is σ = 303609600. Its totient is φ = 26339712.

The previous prime is 99988409. The next prime is 99988453. The reversal of 99988440 is 4488999.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4941 + ... + 14979.

It is an arithmetic number, because the mean of its divisors is an integer number (4743900).

Almost surely, 299988440 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 99988440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151804800).

99988440 is an abundant number, since it is smaller than the sum of its proper divisors (203621160).

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

99988440 is a wasteful number, since it uses less digits than its factorization.

99988440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 99988440 is about 9999.4219832948. The cubic root of 99988440 is about 464.1409970831.

The spelling of 99988440 in words is "ninety-nine million, nine hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 10039 20078 30117 40156 50195 60234 80312 100390 120468 150585 200780 240936 301170 401560 602340 833237 1204680 1666474 2499711 3332948 4166185 4999422 6665896 8332370 9998844 12498555 16664740 19997688 24997110 33329480 49994220 99988440