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90043620 = 22352371919
BaseRepresentation
bin1010101110111…
…11010011100100
320021102200121220
411113133103210
5141022343440
612533540340
72142233562
oct527372344
9207380556
1090043620
1146911117
12261a46b0
1315868a64
14bd5ca32
157d898d0
hex55df4e4

90043620 has 96 divisors (see below), whose sum is σ = 267079680. Its totient is φ = 22619520.

The previous prime is 90043619. The next prime is 90043669. The reversal of 90043620 is 2634009.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97521 + ... + 98439.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 290043620 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 90043620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

90043620 is an abundant number, since it is smaller than the sum of its proper divisors (177036060).

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

90043620 is a wasteful number, since it uses less digits than its factorization.

90043620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 90043620 is about 9489.1316778723. The cubic root of 90043620 is about 448.2128625457.

Adding to 90043620 its reverse (2634009), we get a palindrome (92677629).

The spelling of 90043620 in words is "ninety million, forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 71 92 115 138 142 213 230 276 284 345 355 426 460 690 710 852 919 1065 1380 1420 1633 1838 2130 2757 3266 3676 4260 4595 4899 5514 6532 8165 9190 9798 11028 13785 16330 18380 19596 21137 24495 27570 32660 42274 48990 55140 63411 65249 84548 97980 105685 126822 130498 195747 211370 253644 260996 317055 326245 391494 422740 634110 652490 782988 978735 1268220 1304980 1500727 1957470 3001454 3914940 4502181 6002908 7503635 9004362 15007270 18008724 22510905 30014540 45021810 90043620