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35421540 = 223571121741
BaseRepresentation
bin1000011100011…
…1110101100100
32110122121012220
42013013311210
533031442130
63303112340
7610035540
oct207076544
973577186
1035421540
1118aa3800
12ba426b0
1374528bb
1449c0a20
15319a410
hex21c7d64

35421540 has 288 divisors, whose sum is σ = 135136512. Its totient is φ = 6758400.

The previous prime is 35421527. The next prime is 35421559. The reversal of 35421540 is 4512453.

35421540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×354215403 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35421540.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 863920 + ... + 863960.

It is an arithmetic number, because the mean of its divisors is an integer number (469224).

Almost surely, 235421540 is an apocalyptic number.

35421540 is a gapful number since it is divisible by the number (30) 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 35421540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568256).

35421540 is an abundant number, since it is smaller than the sum of its proper divisors (99714972).

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

35421540 is a wasteful number, since it uses less digits than its factorization.

35421540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 35421540 is about 5951.5997849318. The cubic root of 35421540 is about 328.4146179457.

Adding to 35421540 its reverse (4512453), we get a palindrome (39933993).

The spelling of 35421540 in words is "thirty-five million, four hundred twenty-one thousand, five hundred forty".