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90554940 = 223257210267
BaseRepresentation
bin1010110010111…
…00001000111100
320022101200000200
411121130020330
5141140224230
612552523500
72146463400
oct531341074
9208350020
1090554940
11471302a3
12263b0590
13159b7708
14c053100
157e3b160
hex565c23c

90554940 has 108 divisors (see below), whose sum is σ = 319560696. Its totient is φ = 20696256.

The previous prime is 90554939. The next prime is 90554941. The reversal of 90554940 is 4945509.

It is an interprime number because it is at equal distance from previous prime (90554939) and next prime (90554941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90554895 and 90554904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90554941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3687 + ... + 13953.

Almost surely, 290554940 is an apocalyptic number.

90554940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90554940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159780348).

90554940 is an abundant number, since it is smaller than the sum of its proper divisors (229005756).

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

90554940 is a wasteful number, since it uses less digits than its factorization.

90554940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10296 (or 10284 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90554940 is about 9516.0359394025. The cubic root of 90554940 is about 449.0596660473.

The spelling of 90554940 in words is "ninety million, five hundred fifty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 10267 20534 30801 41068 51335 61602 71869 92403 102670 123204 143738 154005 184806 205340 215607 287476 308010 359345 369612 431214 462015 503083 616020 646821 718690 862428 924030 1006166 1078035 1293642 1437380 1509249 1848060 2012332 2156070 2515415 2587284 3018498 3234105 4312140 4527747 5030830 6036996 6468210 7546245 9055494 10061660 12936420 15092490 18110988 22638735 30184980 45277470 90554940