Search a number
-
+
2103432672 = 253115933359
BaseRepresentation
bin111110101011111…
…1101010111100000
312102120222110011210
41331113331113200
513301434321142
6544415510120
7103060611525
oct17527752740
95376873153
102103432672
1198a373110
124a8528340
13276a20423
1415d50114c
15c49e449c
hex7d5fd5e0

2103432672 has 96 divisors (see below), whose sum is σ = 6035420160. Its totient is φ = 636139520.

The previous prime is 2103432671. The next prime is 2103432673. The reversal of 2103432672 is 2762343012.

It is an interprime number because it is at equal distance from previous prime (2103432671) and next prime (2103432673).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103432671) 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, 624529 + ... + 627887.

It is an arithmetic number, because the mean of its divisors is an integer number (62868960).

Almost surely, 22103432672 is an apocalyptic number.

2103432672 is a gapful number since it is divisible by the number (22) 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 2103432672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017710080).

2103432672 is an abundant number, since it is smaller than the sum of its proper divisors (3931987488).

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

2103432672 is a wasteful number, since it uses less digits than its factorization.

2103432672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 2103432672 is about 45863.1951787051. The cubic root of 2103432672 is about 1281.2765324920.

Adding to 2103432672 its reverse (2762343012), we get a palindrome (4865775684).

The spelling of 2103432672 in words is "two billion, one hundred three million, four hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 593 1056 1186 1779 2372 3359 3558 4744 6523 6718 7116 9488 10077 13046 13436 14232 18976 19569 20154 26092 26872 28464 36949 39138 40308 52184 53744 56928 73898 78276 80616 104368 107488 110847 147796 156552 161232 208736 221694 295592 313104 322464 443388 591184 626208 886776 1182368 1773552 1991887 3547104 3983774 5975661 7967548 11951322 15935096 21910757 23902644 31870192 43821514 47805288 63740384 65732271 87643028 95610576 131464542 175286056 191221152 262929084 350572112 525858168 701144224 1051716336 2103432672