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10435140 = 2232557973
BaseRepresentation
bin100111110011…
…101001000100
3201122011022200
4213303221010
510132411030
61011354500
7154461102
oct47635104
921564280
1010435140
115988091
1235b2a30
132214951
141558c72
15db1d60
hex9f3a44

10435140 has 36 divisors (see below), whose sum is σ = 31653804. Its totient is φ = 2782656.

The previous prime is 10435133. The next prime is 10435177. The reversal of 10435140 is 4153401.

It is a happy number.

10435140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2414916 + 8020224 = 1554^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28807 + ... + 29166.

Almost surely, 210435140 is an apocalyptic number.

10435140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10435140 is an abundant number, since it is smaller than the sum of its proper divisors (21218664).

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

10435140 is a wasteful number, since it uses less digits than its factorization.

10435140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57988 (or 57983 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10435140 is about 3230.3467306158. The cubic root of 10435140 is about 218.5241434850.

Adding to 10435140 its reverse (4153401), we get a palindrome (14588541).

The spelling of 10435140 in words is "ten million, four hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 57973 115946 173919 231892 289865 347838 521757 579730 695676 869595 1043514 1159460 1739190 2087028 2608785 3478380 5217570 10435140