Search a number
-
+
10553466140 = 2257267971657
BaseRepresentation
bin10011101010000100…
…10001110100011100
31000020111012121221022
421311002101310130
5133103141404030
64503113223312
7522344660600
oct116502216434
930214177838
1010553466140
11452617a348
122066401b38
13cc2572529
14721875500
1541b787de5
hex275091d1c

10553466140 has 144 divisors (see below), whose sum is σ = 26451095328. Its totient is φ = 3525451776.

The previous prime is 10553466061. The next prime is 10553466149. The reversal of 10553466140 is 4166435501.

It is a super-2 number, since 2×105534661402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10553466140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553466149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6368192 + ... + 6369848.

It is an arithmetic number, because the mean of its divisors is an integer number (183688162).

Almost surely, 210553466140 is an apocalyptic number.

10553466140 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 10553466140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225547664).

10553466140 is an abundant number, since it is smaller than the sum of its proper divisors (15897629188).

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

10553466140 is a wasteful number, since it uses less digits than its factorization.

10553466140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 10553466140 in words is "ten billion, five hundred fifty-three million, four hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 97 98 134 140 194 196 245 268 335 388 469 485 490 670 679 938 970 980 1340 1358 1657 1876 1940 2345 2716 3283 3314 3395 4690 4753 6499 6566 6628 6790 8285 9380 9506 11599 12998 13132 13580 16415 16570 19012 23198 23765 25996 32495 32830 33140 45493 46396 47530 57995 64990 65660 81193 90986 95060 111019 115990 129980 160729 162386 181972 222038 227465 231980 318451 321458 324772 405965 444076 454930 555095 636902 642916 777133 803645 811930 909860 1110190 1125103 1273804 1554266 1592255 1607290 1623860 2220380 2250206 3108532 3184510 3214580 3885665 4500412 5439931 5625515 6369020 7771330 7875721 10768843 10879862 11251030 15542660 15751442 21537686 21759724 22502060 27199655 31502884 39378605 43075372 53844215 54399310 75381901 78757210 107688430 108798620 150763802 157514420 215376860 301527604 376909505 527673307 753819010 1055346614 1507638020 2110693228 2638366535 5276733070 10553466140