Search a number
-
+
98075136 = 29367953
BaseRepresentation
bin1011101100010…
…00001000000000
320211112201210110
411312020020000
5200101401021
613422031320
72300424225
oct566101000
9224481713
1098075136
11503a7335
1228a18540
131741b633
14d04d94c
158924476
hex5d88200

98075136 has 80 divisors (see below), whose sum is σ = 265456224. Its totient is φ = 32169984.

The previous prime is 98075119. The next prime is 98075143. The reversal of 98075136 is 63157089.

It is a junction number, because it is equal to n+sod(n) for n = 98075094 and 98075103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102436 + ... + 103388.

Almost surely, 298075136 is an apocalyptic number.

98075136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

98075136 is the 5718-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132728112).

98075136 is an abundant number, since it is smaller than the sum of its proper divisors (167381088).

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

98075136 is an equidigital number, since it uses as much as digits as its factorization.

98075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 98075136 is about 9903.2891505802. The cubic root of 98075136 is about 461.1614255490.

The spelling of 98075136 in words is "ninety-eight million, seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 953 1072 1536 1608 1906 2144 2859 3216 3812 4288 5718 6432 7624 8576 11436 12864 15248 17152 22872 25728 30496 34304 45744 51456 60992 63851 91488 102912 121984 127702 182976 191553 243968 255404 365952 383106 487936 510808 731904 766212 1021616 1463808 1532424 2043232 3064848 4086464 6129696 8172928 12259392 16345856 24518784 32691712 49037568 98075136