Search a number
-
+
90059905 = 5131972923
BaseRepresentation
bin1010101111000…
…11010010000001
320021110111222001
411113203102001
5141023404110
612534144001
72142332215
oct527432201
9207414861
1090059905
1146922381
12261b2001
13158732b0
14bd64945
157d8e63a
hex55e3481

90059905 has 16 divisors (see below), whose sum is σ = 122512320. Its totient is φ = 63004608.

The previous prime is 90059861. The next prime is 90059917. The reversal of 90059905 is 50995009.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-90059905 is a prime.

It is a super-2 number, since 2×900599052 = 16221572977218050, which contains 22 as substring.

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, 35227 + ... + 37696.

It is an arithmetic number, because the mean of its divisors is an integer number (7657020).

Almost surely, 290059905 is an apocalyptic number.

90059905 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90059905 is a deficient number, since it is larger than the sum of its proper divisors (32452415).

90059905 is a wasteful number, since it uses less digits than its factorization.

90059905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72960.

The product of its (nonzero) digits is 18225, while the sum is 37.

The square root of 90059905 is about 9489.9897260218. The cubic root of 90059905 is about 448.2398816966.

The spelling of 90059905 in words is "ninety million, fifty-nine thousand, nine hundred five".

Divisors: 1 5 13 19 65 95 247 1235 72923 364615 947999 1385537 4739995 6927685 18011981 90059905