Search a number
-
+
99459990 = 23257473359
BaseRepresentation
bin1011110110110…
…10001110010110
320221011002110100
411323122032112
5200430204430
613511434530
72315252550
oct573321626
9227132410
1099459990
1151162843
1229385a46
13177b4a86
14d2d04d0
158ae9960
hex5eda396

99459990 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 22243392.

The previous prime is 99459953. The next prime is 99459991. The reversal of 99459990 is 9995499.

It is a happy number.

It is a super-2 number, since 2×994599902 = 19784579221600200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99459991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27931 + ... + 31289.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 299459990 is an apocalyptic number.

99459990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99459990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

99459990 is an abundant number, since it is smaller than the sum of its proper divisors (202456170).

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

99459990 is a wasteful number, since it uses less digits than its factorization.

99459990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The square root of 99459990 is about 9972.9629498961. The cubic root of 99459990 is about 463.3218734406.

The spelling of 99459990 in words is "ninety-nine million, four hundred fifty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 47 63 70 90 94 105 126 141 210 235 282 315 329 423 470 630 658 705 846 987 1410 1645 1974 2115 2961 3290 3359 4230 4935 5922 6718 9870 10077 14805 16795 20154 23513 29610 30231 33590 47026 50385 60462 70539 100770 117565 141078 151155 157873 211617 235130 302310 315746 352695 423234 473619 705390 789365 947238 1058085 1105111 1420857 1578730 2116170 2210222 2368095 2841714 3315333 4736190 5525555 6630666 7104285 9945999 11051110 14208570 16576665 19891998 33153330 49729995 99459990