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98430 = 23517193
BaseRepresentation
bin11000000001111110
312000000120
4120001332
511122210
62035410
7556653
oct300176
9160016
1098430
1167a52
1248b66
1335a57
1427c2a
151e270
hex1807e

98430 has 32 divisors (see below), whose sum is σ = 251424. Its totient is φ = 24576.

The previous prime is 98429. The next prime is 98443. The reversal of 98430 is 3489.

98430 = T99 + T100 + ... + T115.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 98430.

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, 414 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (7857).

298430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125712).

98430 is an abundant number, since it is smaller than the sum of its proper divisors (152994).

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

98430 is a wasteful number, since it uses less digits than its factorization.

98430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 98430 is about 313.7355574365. The cubic root of 98430 is about 46.1716960871.

It can be divided in two parts, 98 and 430, that added together give a triangular number (528 = T32).

The spelling of 98430 in words is "ninety-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 193 255 386 510 579 965 1158 1930 2895 3281 5790 6562 9843 16405 19686 32810 49215 98430