Search a number
-
+
10037980 = 225717069
BaseRepresentation
bin100110010010…
…101011011100
3200212222112001
4212102223130
510032203410
6555052044
7151215151
oct46225334
920788461
1010037980
115736757
123441024
132105c44
141494228
15d3433a
hex992adc

10037980 has 24 divisors (see below), whose sum is σ = 21379680. Its totient is φ = 3958080.

The previous prime is 10037971. The next prime is 10037987. The reversal of 10037980 is 8973001.

10037980 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 2×100379802 = 201522084960800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10037987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2115 + ... + 4954.

It is an arithmetic number, because the mean of its divisors is an integer number (890820).

Almost surely, 210037980 is an apocalyptic number.

10037980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10037980 is an abundant number, since it is smaller than the sum of its proper divisors (11341700).

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

10037980 is a wasteful number, since it uses less digits than its factorization.

10037980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 10037980 is about 3168.2771343429. The cubic root of 10037980 is about 215.7158758584.

The spelling of 10037980 in words is "ten million, thirty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 7069 14138 28276 35345 70690 141380 501899 1003798 2007596 2509495 5018990 10037980