Search a number
-
+
10374053140 = 225111711324547
BaseRepresentation
bin10011010100101011…
…10111110100010100
3222202222121111120101
421222111313310110
5132221224200030
64433223543444
7515035665613
oct115225676424
928688544511
1010374053140
114443978740
1220162bab84
13c943458a9
14705ad187a
1540ab487ca
hex26a577d14

10374053140 has 96 divisors (see below), whose sum is σ = 25387737984. Its totient is φ = 3518914560.

The previous prime is 10374053119. The next prime is 10374053177. The reversal of 10374053140 is 4135047301.

It is a junction number, because it is equal to n+sod(n) for n = 10374053099 and 10374053108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410347 + ... + 434893.

It is an arithmetic number, because the mean of its divisors is an integer number (264455604).

Almost surely, 210374053140 is an apocalyptic number.

10374053140 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 10374053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12693868992).

10374053140 is an abundant number, since it is smaller than the sum of its proper divisors (15013684844).

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

10374053140 is a wasteful number, since it uses less digits than its factorization.

10374053140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24697 (or 24695 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 10374053140 in words is "ten billion, three hundred seventy-four million, fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 113 170 187 220 226 340 374 452 565 748 935 1130 1243 1870 1921 2260 2486 3740 3842 4972 6215 7684 9605 12430 19210 21131 24547 24860 38420 42262 49094 84524 98188 105655 122735 211310 245470 270017 417299 422620 490940 540034 834598 1080068 1350085 1669196 2086495 2700170 2773811 4172990 4590289 5400340 5547622 8345980 9180578 11095244 13869055 18361156 22951445 27738110 30511921 45902890 47154787 55476220 61023842 91805780 94309574 122047684 152559605 188619148 235773935 305119210 471547870 518702657 610238420 943095740 1037405314 2074810628 2593513285 5187026570 10374053140