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90516204 = 2234437389
BaseRepresentation
bin1010110010100…
…10101011101100
320022022200220000
411121102223230
5141133004304
612552024300
72146242432
oct531225354
9208280800
1090516204
1147104189
1226392090
13159a2bac
14c042d52
157e2e939
hex5652aec

90516204 has 120 divisors (see below), whose sum is σ = 248204880. Its totient is φ = 28740096.

The previous prime is 90516203. The next prime is 90516227. The reversal of 90516204 is 40261509.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (90516203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1016992 + ... + 1017080.

It is an arithmetic number, because the mean of its divisors is an integer number (2068374).

Almost surely, 290516204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90516204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124102440).

90516204 is an abundant number, since it is smaller than the sum of its proper divisors (157688676).

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

90516204 is a wasteful number, since it uses less digits than its factorization.

90516204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90516204 is about 9514.0004204330. Note that the first 3 decimals coincide. The cubic root of 90516204 is about 448.9956266325.

The spelling of 90516204 in words is "ninety million, five hundred sixteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 73 81 86 89 108 129 146 162 172 178 219 258 267 292 324 356 387 438 516 534 657 774 801 876 1068 1161 1314 1548 1602 1971 2322 2403 2628 3139 3204 3483 3827 3942 4644 4806 5913 6278 6497 6966 7209 7654 7884 9417 9612 11481 11826 12556 12994 13932 14418 15308 18834 19491 22962 23652 25988 28251 28836 34443 37668 38982 45924 56502 58473 68886 77964 84753 103329 113004 116946 137772 169506 175419 206658 233892 254259 279371 309987 339012 350838 413316 508518 526257 558742 619974 701676 838113 1017036 1052514 1117484 1239948 1676226 2105028 2514339 3352452 5028678 7543017 10057356 15086034 22629051 30172068 45258102 90516204