Search a number
-
+
90134240 = 2557233499
BaseRepresentation
bin1010101111101…
…01011011100000
320021121021221012
411113311123200
5141033243430
612535520052
72143062020
oct527653340
9207537835
1090134240
1146973209
1226229028
131589b091
14bd83a80
157da6695
hex55f56e0

90134240 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 29551104.

The previous prime is 90134201. The next prime is 90134251. The reversal of 90134240 is 4243109.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24011 + ... + 27509.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 290134240 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 90134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

90134240 is an abundant number, since it is smaller than the sum of its proper divisors (163881760).

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

90134240 is a wasteful number, since it uses less digits than its factorization.

90134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 90134240 is about 9493.9054134745. The cubic root of 90134240 is about 448.3631727751.

Adding to 90134240 its reverse (4243109), we get a palindrome (94377349).

The spelling of 90134240 in words is "ninety million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3499 3680 5152 6440 6998 12880 13996 17495 24493 25760 27992 34990 48986 55984 69980 80477 97972 111968 122465 139960 160954 195944 244930 279920 321908 391888 402385 489860 559840 563339 643816 783776 804770 979720 1126678 1287632 1609540 1959440 2253356 2575264 2816695 3219080 3918880 4506712 5633390 6438160 9013424 11266780 12876320 18026848 22533560 45067120 90134240