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35146020 = 223571341157
BaseRepresentation
bin1000011000010…
…0100100100100
32110010121021110
42012010210210
532444133040
63253145020
7604510350
oct206044444
973117243
1035146020
11189257a8
12b92b170
137387380
14494c460
153143980
hex2184924

35146020 has 192 divisors, whose sum is σ = 124862976. Its totient is φ = 7188480.

The previous prime is 35146019. The next prime is 35146043. The reversal of 35146020 is 2064153.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223782 + ... + 223938.

It is an arithmetic number, because the mean of its divisors is an integer number (650328).

Almost surely, 235146020 is an apocalyptic number.

35146020 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 35146020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62431488).

35146020 is an abundant number, since it is smaller than the sum of its proper divisors (89716956).

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

35146020 is a wasteful number, since it uses less digits than its factorization.

35146020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 35146020 is about 5928.4078807046. The cubic root of 35146020 is about 327.5608961601.

The spelling of 35146020 in words is "thirty-five million, one hundred forty-six thousand, twenty".