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98969760 = 2532568729
BaseRepresentation
bin1011110011000…
…10100010100000
320220020011222200
411321202202200
5200314013020
613453133200
72311141401
oct571424240
9226204880
1098969760
115095849a
122918a200
13176728b6
14d2039a8
158a4e590
hex5e628a0

98969760 has 72 divisors (see below), whose sum is σ = 337739220. Its totient is φ = 26391552.

The previous prime is 98969753. The next prime is 98969771. The reversal of 98969760 is 6796989.

It can be written as a sum of positive squares in 2 ways, for example, as 98962704 + 7056 = 9948^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 98969697 and 98969706.

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 11 ways as a sum of consecutive naturals, for example, 32925 + ... + 35804.

Almost surely, 298969760 is an apocalyptic number.

98969760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98969760 is an abundant number, since it is smaller than the sum of its proper divisors (238769460).

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

98969760 is a wasteful number, since it uses less digits than its factorization.

98969760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68750 (or 68739 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 98969760 is about 9948.3546378283. The cubic root of 98969760 is about 462.5593943688.

The spelling of 98969760 in words is "ninety-eight million, nine hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 68729 137458 206187 274916 343645 412374 549832 618561 687290 824748 1030935 1099664 1237122 1374580 1649496 2061870 2199328 2474244 2749160 3092805 3298992 4123740 4948488 5498320 6185610 6597984 8247480 9896976 10996640 12371220 16494960 19793952 24742440 32989920 49484880 98969760