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98131440 = 24351137171
BaseRepresentation
bin1011101100101…
…01110111110000
320211122121000210
411312111313300
5200110201230
613423144120
72301050331
oct566256760
9224577023
1098131440
1150435670
1228a45040
131743b154
14d066288
158935eb0
hex5d95df0

98131440 has 80 divisors (see below), whose sum is σ = 331871616. Its totient is φ = 23788800.

The previous prime is 98131433. The next prime is 98131487. The reversal of 98131440 is 4413189.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 98131398 and 98131407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15946 + ... + 21225.

Almost surely, 298131440 is an apocalyptic number.

It is an amenable number.

98131440 is an abundant number, since it is smaller than the sum of its proper divisors (233740176).

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

98131440 is a wasteful number, since it uses less digits than its factorization.

98131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37198 (or 37192 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 98131440 is about 9906.1314346217. The cubic root of 98131440 is about 461.2496581251.

The spelling of 98131440 in words is "ninety-eight million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 37171 74342 111513 148684 185855 223026 297368 371710 408881 446052 557565 594736 743420 817762 892104 1115130 1226643 1486840 1635524 1784208 2044405 2230260 2453286 2973680 3271048 4088810 4460520 4906572 6133215 6542096 8177620 8921040 9813144 12266430 16355240 19626288 24532860 32710480 49065720 98131440