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10040140 = 2251147971
BaseRepresentation
bin100110010011…
…001101001100
3200220002111001
4212103031030
510032241030
6555110044
7151224355
oct46231514
920802431
1010040140
115738340
123442324
132106c16
141494d2c
15d34cca
hex99334c

10040140 has 48 divisors (see below), whose sum is σ = 23514624. Its totient is φ = 3569600.

The previous prime is 10040137. The next prime is 10040171. The reversal of 10040140 is 4104001.

It is a super-2 number, since 2×100401402 = 201608822439200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 6.

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 15 ways as a sum of consecutive naturals, for example, 9855 + ... + 10825.

It is an arithmetic number, because the mean of its divisors is an integer number (489888).

Almost surely, 210040140 is an apocalyptic number.

10040140 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 10040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757312).

10040140 is an abundant number, since it is smaller than the sum of its proper divisors (13474484).

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

10040140 is a wasteful number, since it uses less digits than its factorization.

10040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10040140 is about 3168.6179952781. The cubic root of 10040140 is about 215.7313475261.

Adding to 10040140 its reverse (4104001), we get a palindrome (14144141).

The spelling of 10040140 in words is "ten million, forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 971 1034 1942 2068 2585 3884 4855 5170 9710 10340 10681 19420 21362 42724 45637 53405 91274 106810 182548 213620 228185 456370 502007 912740 1004014 2008028 2510035 5020070 10040140