Search a number
-
+
13106502640 = 2457112127679
BaseRepresentation
bin11000011010011010…
…10101101111110000
31020211102012022121201
430031031111233300
5203320231041030
610004313500544
7642535301650
oct141515255760
936742168551
1013106502640
115616308470
122659411754
13130b48120a
148c4970360
1551a98d2ca
hex30d355bf0

13106502640 has 80 divisors (see below), whose sum is σ = 37991854080. Its totient is φ = 4085141760.

The previous prime is 13106502593. The next prime is 13106502649. The reversal of 13106502640 is 4620560131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131065026402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13106502599 and 13106502608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106502649) 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, 1057680 + ... + 1069999.

It is an arithmetic number, because the mean of its divisors is an integer number (474898176).

Almost surely, 213106502640 is an apocalyptic number.

13106502640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13106502640 is an abundant number, since it is smaller than the sum of its proper divisors (24885351440).

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

13106502640 is a wasteful number, since it uses less digits than its factorization.

13106502640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127710 (or 2127704 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 13106502640 in words is "thirteen billion, one hundred six million, five hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 2127679 4255358 8510716 10638395 14893753 17021432 21276790 23404469 29787506 34042864 42553580 46808938 59575012 74468765 85107160 93617876 117022345 119150024 148937530 163831283 170214320 187235752 234044690 238300048 297875060 327662566 374471504 468089380 595750120 655325132 819156415 936178760 1191500240 1310650264 1638312830 1872357520 2621300528 3276625660 6553251320 13106502640