Search a number
-
+
10001988 = 2233372503
BaseRepresentation
bin100110001001…
…111001000100
3200211011011000
4212021321010
510030030423
6554213300
7151005213
oct46117104
920734130
1010001988
115711707
123424230
1320c2749
14148507a
15d28843
hex989e44

10001988 has 48 divisors (see below), whose sum is σ = 26642560. Its totient is φ = 3242592.

The previous prime is 10001963. The next prime is 10002007. The reversal of 10001988 is 88910001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2745 + ... + 5247.

Almost surely, 210001988 is an apocalyptic number.

10001988 is a gapful number since it is divisible by the number (18) 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 10001988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321280).

10001988 is an abundant number, since it is smaller than the sum of its proper divisors (16640572).

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

10001988 is a wasteful number, since it uses less digits than its factorization.

10001988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 10001988 is about 3162.5919749471. The cubic root of 10001988 is about 215.4577447778.

Adding to 10001988 its reverse (88910001), we get a palindrome (98911989).

The spelling of 10001988 in words is "ten million, one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 2503 3996 5006 7509 10012 15018 22527 30036 45054 67581 90108 92611 135162 185222 270324 277833 370444 555666 833499 1111332 1666998 2500497 3333996 5000994 10001988