Search a number
-
+
35420000 = 255471123
BaseRepresentation
bin1000011100011…
…1011101100000
32110122112002212
42013013131200
533031420000
63303101252
7610031210
oct207073540
973575085
1035420000
1118aa2630
12ba41828
137451ca5
1449c0240
153199c35
hex21c7760

35420000 has 240 divisors, whose sum is σ = 113363712. Its totient is φ = 10560000.

The previous prime is 35419987. The next prime is 35420029. The reversal of 35420000 is 2453.

It is a super-3 number, since 3×354200003 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1539989 + ... + 1540011.

Almost surely, 235420000 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 35420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56681856).

35420000 is an abundant number, since it is smaller than the sum of its proper divisors (77943712).

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

35420000 is a wasteful number, since it uses less digits than its factorization.

35420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 35420000 is about 5951.4704065466. The cubic root of 35420000 is about 328.4098584515.

Adding to 35420000 its reverse (2453), we get a palindrome (35422453).

The spelling of 35420000 in words is "thirty-five million, four hundred twenty thousand".