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35950068 = 22347112131
BaseRepresentation
bin1000100100100…
…0110111110100
32111122110020000
42021020313310
533200400233
63322311300
7614366460
oct211106764
974573200
1035950068
1119324900
1210058530
1375a933b
144abb4a0
153251d13
hex2248df4

35950068 has 180 divisors, whose sum is σ = 118959456. Its totient is φ = 9266400.

The previous prime is 35950063. The next prime is 35950097. The reversal of 35950068 is 86005953.

35950068 is a `hidden beast` number, since 3 + 595 + 0 + 0 + 68 = 666.

35950068 is nontrivially palindromic in base 5.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35950063) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 274363 + ... + 274493.

Almost surely, 235950068 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 35950068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59479728).

35950068 is an abundant number, since it is smaller than the sum of its proper divisors (83009388).

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

35950068 is a wasteful number, since it uses less digits than its factorization.

35950068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

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

The square root of 35950068 is about 5995.8375561718. The cubic root of 35950068 is about 330.0399951525.

The spelling of 35950068 in words is "thirty-five million, nine hundred fifty thousand, sixty-eight".