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98871840 = 253552543
BaseRepresentation
bin1011110010010…
…10101000100000
320220001012200000
411321022220200
5200302344330
613451100000
72310253044
oct571125040
9226035600
1098871840
11508a0971
1229141600
131763a162
14d1ba024
158a30560
hex5e4aa20

98871840 has 144 divisors (see below), whose sum is σ = 350034048. Its totient is φ = 26355456.

The previous prime is 98871823. The next prime is 98871853. The reversal of 98871840 is 4817889.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37609 + ... + 40151.

It is an arithmetic number, because the mean of its divisors is an integer number (2430792).

Almost surely, 298871840 is an apocalyptic number.

98871840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175017024).

98871840 is an abundant number, since it is smaller than the sum of its proper divisors (251162208).

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

98871840 is a wasteful number, since it uses less digits than its factorization.

98871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 98871840 is about 9943.4320030863. The cubic root of 98871840 is about 462.4067930021.

The spelling of 98871840 in words is "ninety-eight million, eight hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2543 2592 3240 3888 4320 4860 5086 6480 7629 7776 9720 10172 12715 12960 15258 19440 20344 22887 25430 30516 38145 38880 40688 45774 50860 61032 68661 76290 81376 91548 101720 114435 122064 137322 152580 183096 203440 205983 228870 244128 274644 305160 343305 366192 406880 411966 457740 549288 610320 617949 686610 732384 823932 915480 1029915 1098576 1220640 1235898 1373220 1647864 1830960 2059830 2197152 2471796 2746440 3089745 3295728 3661920 4119660 4943592 5492880 6179490 6591456 8239320 9887184 10985760 12358980 16478640 19774368 24717960 32957280 49435920 98871840