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2935002 = 237267149
BaseRepresentation
bin1011001100100011011010
312112010001210
423030203122
51222410002
6142523550
733642600
oct13144332
95463053
102935002
111725124
12b965b6
137b9bb5
14565870
153ce96c
hex2cc8da

2935002 has 48 divisors (see below), whose sum is σ = 6976800. Its totient is φ = 820512.

The previous prime is 2934989. The next prime is 2935013. The reversal of 2935002 is 2005392.

2935002 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-2 number, since 2×29350022 = 17228473480008, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2935002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19624 + ... + 19772.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

22935002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2935002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488400).

2935002 is an abundant number, since it is smaller than the sum of its proper divisors (4041798).

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

2935002 is a wasteful number, since it uses less digits than its factorization.

2935002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 2935002 is about 1713.1847536095. The cubic root of 2935002 is about 143.1757501357.

The spelling of 2935002 in words is "two million, nine hundred thirty-five thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 149 201 294 298 402 447 469 894 938 1043 1407 2086 2814 3129 3283 6258 6566 7301 9849 9983 14602 19698 19966 21903 29949 43806 59898 69881 139762 209643 419286 489167 978334 1467501 2935002