Search a number
-
+
10067010440 = 2354127122651
BaseRepresentation
bin10010110000000101…
…00110001110001000
3221222120212010011112
421120002212032020
5131104123313230
64342534545452
7504320114444
oct113002461610
927876763145
1010067010440
1142a6623a43
121b4b508288
13c45850316
146b7007824
153ddbe7d95
hex2580a6388

10067010440 has 64 divisors (see below), whose sum is σ = 23289880320. Its totient is φ = 3913920000.

The previous prime is 10067010413. The next prime is 10067010509. The reversal of 10067010440 is 4401076001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433115 + ... + 455765.

It is an arithmetic number, because the mean of its divisors is an integer number (363904380).

Almost surely, 210067010440 is an apocalyptic number.

10067010440 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 10067010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644940160).

10067010440 is an abundant number, since it is smaller than the sum of its proper divisors (13222869880).

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

10067010440 is a wasteful number, since it uses less digits than its factorization.

10067010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22974 (or 22970 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 10067010440 its reverse (4401076001), we get a palindrome (14468086441).

The spelling of 10067010440 in words is "ten billion, sixty-seven million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 271 328 410 542 820 1084 1355 1640 2168 2710 5420 10840 11111 22222 22651 44444 45302 55555 88888 90604 111110 113255 181208 222220 226510 444440 453020 906040 928691 1857382 3714764 4643455 6138421 7429528 9286910 12276842 18573820 24553684 30692105 37147640 49107368 61384210 122768420 245536840 251675261 503350522 1006701044 1258376305 2013402088 2516752610 5033505220 10067010440