Search a number
-
+
10140642 = 23219149199
BaseRepresentation
bin100110101011…
…101111100010
3201002012100100
4212223233202
510044000032
61001203230
7152123361
oct46535742
921065310
1010140642
1157a68a6
123490516
1321408a5
1414bd7d8
15d5497c
hex9abbe2

10140642 has 48 divisors (see below), whose sum is σ = 23400000. Its totient is φ = 3164832.

The previous prime is 10140629. The next prime is 10140643. The reversal of 10140642 is 24604101.

10140642 is a `hidden beast` number, since 10 + 14 + 0 + 642 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10140643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50859 + ... + 51057.

It is an arithmetic number, because the mean of its divisors is an integer number (487500).

Almost surely, 210140642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11700000).

10140642 is an abundant number, since it is smaller than the sum of its proper divisors (13259358).

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

10140642 is a wasteful number, since it uses less digits than its factorization.

10140642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10140642 is about 3184.4374699466. The cubic root of 10140642 is about 216.4487839923.

Adding to 10140642 its reverse (24604101), we get a palindrome (34744743).

The spelling of 10140642 in words is "ten million, one hundred forty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 149 171 199 298 342 398 447 597 894 1194 1341 1791 2682 2831 3582 3781 5662 7562 8493 11343 16986 22686 25479 29651 34029 50958 59302 68058 88953 177906 266859 533718 563369 1126738 1690107 3380214 5070321 10140642