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98130032 = 24711213557
BaseRepresentation
bin1011101100101…
…01100001110000
320211122112002122
411312111201300
5200110130112
613423133412
72301043250
oct566254160
9224575078
1098130032
1150434600
1228a44268
131743a610
14d065960
158935872
hex5d95870

98130032 has 120 divisors (see below), whose sum is σ = 257671008. Its totient is φ = 35228160.

The previous prime is 98130017. The next prime is 98130037. The reversal of 98130032 is 23003189.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 98129983 and 98130010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98130037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175898 + ... + 176454.

Almost surely, 298130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128835504).

98130032 is an abundant number, since it is smaller than the sum of its proper divisors (159540976).

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

98130032 is a wasteful number, since it uses less digits than its factorization.

98130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 98130032 is about 9906.0603672701. The cubic root of 98130032 is about 461.2474520953.

It can be divided in two parts, 981 and 30032, that added together give a palindrome (31013).

The spelling of 98130032 in words is "ninety-eight million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 121 143 154 176 182 208 242 286 308 364 484 557 572 616 728 847 968 1001 1114 1144 1232 1456 1573 1694 1936 2002 2228 2288 3146 3388 3899 4004 4456 6127 6292 6776 7241 7798 8008 8912 11011 12254 12584 13552 14482 15596 16016 22022 24508 25168 28964 31192 42889 44044 49016 50687 57928 62384 67397 79651 85778 88088 98032 101374 115856 134794 159302 171556 176176 202748 269588 318604 343112 405496 471779 539176 557557 637208 686224 810992 876161 943558 1078352 1115114 1274416 1752322 1887116 2230228 3504644 3774232 4460456 6133127 7009288 7548464 8920912 12266254 14018576 24532508 49065016 98130032