Search a number
-
+
90729054 = 232134371127
BaseRepresentation
bin1010110100001…
…10101001011110
320022201111212100
411122012221132
5141211312204
613000345530
72151120123
oct532065136
9208644770
1090729054
114723a099
12264752a6
1315a48a40
14c09a74a
157e72a39
hex5686a5e

90729054 has 96 divisors (see below), whose sum is σ = 221405184. Its totient is φ = 26671680.

The previous prime is 90729019. The next prime is 90729071. The reversal of 90729054 is 45092709.

It is a super-2 number, since 2×907290542 = 16463522479469832, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714339 + ... + 714465.

It is an arithmetic number, because the mean of its divisors is an integer number (2306304).

Almost surely, 290729054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90729054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110702592).

90729054 is an abundant number, since it is smaller than the sum of its proper divisors (130676130).

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

90729054 is a wasteful number, since it uses less digits than its factorization.

90729054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 90729054 is about 9525.1799982992. The cubic root of 90729054 is about 449.3472907629.

The spelling of 90729054 in words is "ninety million, seven hundred twenty-nine thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 43 71 78 86 117 127 129 142 213 234 254 258 381 387 426 559 639 762 774 923 1118 1143 1278 1651 1677 1846 2286 2769 3053 3302 3354 4953 5031 5461 5538 6106 8307 9017 9159 9906 10062 10922 14859 16383 16614 18034 18318 27051 27477 29718 32766 39689 49149 54102 54954 70993 79378 81153 98298 117221 119067 141986 162306 212979 234442 238134 351663 357201 387731 425958 638937 703326 714402 775462 1054989 1163193 1277874 2109978 2326386 3489579 5040503 6979158 10081006 15121509 30243018 45364527 90729054