Search a number
-
+
103029640 = 2357477829
BaseRepresentation
bin1100010010000…
…01101110001000
321011212110002121
412021001232020
5202333422030
614120141024
72360510650
oct611015610
9234773077
10103029640
115318076a
122a607774
13184647ac
14d97d360
1590a247a
hex6241b88

103029640 has 64 divisors (see below), whose sum is σ = 270604800. Its totient is φ = 34568448.

The previous prime is 103029629. The next prime is 103029649. The reversal of 103029640 is 46920301.

It is not an unprimeable number, because it can be changed into a prime (103029649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9246 + ... + 17074.

It is an arithmetic number, because the mean of its divisors is an integer number (4228200).

Almost surely, 2103029640 is an apocalyptic number.

103029640 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 103029640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135302400).

103029640 is an abundant number, since it is smaller than the sum of its proper divisors (167575160).

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

103029640 is a wasteful number, since it uses less digits than its factorization.

103029640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 103029640 is about 10150.3517180441. The cubic root of 103029640 is about 468.7997745071.

Adding to 103029640 its reverse (46920301), we get a palindrome (149949941).

The spelling of 103029640 in words is "one hundred three million, twenty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 7829 13160 15658 31316 39145 54803 62632 78290 109606 156580 219212 274015 313160 367963 438424 548030 735926 1096060 1471852 1839815 2192120 2575741 2943704 3679630 5151482 7359260 10302964 12878705 14718520 20605928 25757410 51514820 103029640