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98231136 = 25373107131
BaseRepresentation
bin1011101101011…
…10001101100000
320211211122210020
411312232031200
5200121344021
613425233440
72301644103
oct566561540
9224748706
1098231136
11504a3563
1228a92880
1317474643
14d09073a
1589557c6
hex5dae360

98231136 has 96 divisors (see below), whose sum is σ = 265845888. Its totient is φ = 31749120.

The previous prime is 98231131. The next prime is 98231141. The reversal of 98231136 is 63113289.

98231136 is a nontrivial binomial coefficient, being equal to C(14017, 2).

It is an interprime number because it is at equal distance from previous prime (98231131) and next prime (98231141).

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (7776) is a multiple of the sum of its prime factors (324).

It is a junction number, because it is equal to n+sod(n) for n = 98231097 and 98231106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98231131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749791 + ... + 749921.

It is an arithmetic number, because the mean of its divisors is an integer number (2769228).

Almost surely, 298231136 is an apocalyptic number.

98231136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

98231136 is the 14016-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98231136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132922944).

98231136 is an abundant number, since it is smaller than the sum of its proper divisors (167614752).

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

98231136 is a wasteful number, since it uses less digits than its factorization.

98231136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 98231136 is about 9911.1621921952. The cubic root of 98231136 is about 461.4058064572.

The spelling of 98231136 in words is "ninety-eight million, two hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 107 131 146 214 219 262 292 321 393 428 438 524 584 642 786 856 876 1048 1168 1284 1572 1712 1752 2096 2336 2568 3144 3424 3504 4192 5136 6288 7008 7811 9563 10272 12576 14017 15622 19126 23433 28034 28689 31244 38252 42051 46866 56068 57378 62488 76504 84102 93732 112136 114756 124976 153008 168204 187464 224272 229512 249952 306016 336408 374928 448544 459024 672816 749856 918048 1023241 1345632 2046482 3069723 4092964 6139446 8185928 12278892 16371856 24557784 32743712 49115568 98231136