[go: up one dir, main page]

Search a number
-
+
98001216 = 2632170141
BaseRepresentation
bin1011101011101…
…10000101000000
320211101222101200
411311312011000
5200042014331
613420301200
72266665555
oct565660500
9224358350
1098001216
1150356845
12289a1800
13173c3ab1
14d030a2c
15890c5e6
hex5d76140

98001216 has 42 divisors (see below), whose sum is σ = 280904442. Its totient is φ = 32666880.

The previous prime is 98001191. The next prime is 98001217. The reversal of 98001216 is 61210089.

It can be written as a sum of positive squares in only one way, i.e., 60840000 + 37161216 = 7800^2 + 6096^2 .

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 98001216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98001217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84495 + ... + 85646.

It is an arithmetic number, because the mean of its divisors is an integer number (6688201).

Almost surely, 298001216 is an apocalyptic number.

98001216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

98001216 is an abundant number, since it is smaller than the sum of its proper divisors (182903226).

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

98001216 is a wasteful number, since it uses less digits than its factorization.

98001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170159 (or 170146 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 98001216 is about 9899.5563536959. The cubic root of 98001216 is about 461.0455360995.

The spelling of 98001216 in words is "ninety-eight million, one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 170141 340282 510423 680564 1020846 1361128 1531269 2041692 2722256 3062538 4083384 5444512 6125076 8166768 10889024 12250152 16333536 24500304 32667072 49000608 98001216