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10245032440 = 2354159910429
BaseRepresentation
bin10011000101010011…
…01100100111111000
3222102222211120102221
421202221230213320
5131440212014230
64412334333424
7511611224146
oct114251544770
928388746387
1010245032440
114388065565
121b9b05a274
13c736b0a96
146d2908596
153ee66027a
hex262a6c9f8

10245032440 has 64 divisors (see below), whose sum is σ = 23655240000. Its totient is φ = 3991004160.

The previous prime is 10245032353. The next prime is 10245032513. The reversal of 10245032440 is 4423054201.

It is a happy number.

10245032440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977146 + ... + 987574.

It is an arithmetic number, because the mean of its divisors is an integer number (369613125).

Almost surely, 210245032440 is an apocalyptic number.

10245032440 is a gapful number since it is divisible by the number (10) 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 10245032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827620000).

10245032440 is an abundant number, since it is smaller than the sum of its proper divisors (13410207560).

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

10245032440 is a wasteful number, since it uses less digits than its factorization.

10245032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11080 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10245032440 its reverse (4423054201), we get a palindrome (14668086641).

The spelling of 10245032440 in words is "ten billion, two hundred forty-five million, thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 599 820 1198 1640 2396 2995 4792 5990 10429 11980 20858 23960 24559 41716 49118 52145 83432 98236 104290 122795 196472 208580 245590 417160 427589 491180 855178 982360 1710356 2137945 3420712 4275890 6246971 8551780 12493942 17103560 24987884 31234855 49975768 62469710 124939420 249878840 256125811 512251622 1024503244 1280629055 2049006488 2561258110 5122516220 10245032440