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10160632540 = 22531431732203
BaseRepresentation
bin10010111011001111…
…01111001011011100
3222020010000121112201
421131213233023130
5131302110220130
64400121341244
7506534644252
oct113547571334
928203017481
1010160632540
114344459683
121b76937824
13c5c06cb06
146c56185d2
153e703cbca
hex25d9ef2dc

10160632540 has 96 divisors (see below), whose sum is σ = 22678419456. Its totient is φ = 3817739520.

The previous prime is 10160632529. The next prime is 10160632543. The reversal of 10160632540 is 4523606101.

It is a super-2 number, since 2×101606325402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10160632499 and 10160632508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10160632543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4611079 + ... + 4613281.

It is an arithmetic number, because the mean of its divisors is an integer number (236233536).

Almost surely, 210160632540 is an apocalyptic number.

10160632540 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 10160632540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339209728).

10160632540 is an abundant number, since it is smaller than the sum of its proper divisors (12517786916).

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

10160632540 is a wasteful number, since it uses less digits than its factorization.

10160632540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2457 counting only the distinct ones).

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

The spelling of 10160632540 in words is "ten billion, one hundred sixty million, six hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 173 215 310 346 430 620 692 860 865 1333 1730 2203 2666 3460 4406 5332 5363 6665 7439 8812 10726 11015 13330 14878 21452 22030 26660 26815 29756 37195 44060 53630 68293 74390 94729 107260 136586 148780 189458 230609 273172 341465 378916 381119 461218 473645 682930 762238 922436 947290 1153045 1365860 1524476 1894580 1905595 2306090 2936599 3811190 4612180 5873198 7622380 11746396 11814689 14682995 16388117 23629378 29365990 32776234 47258756 58731980 59073445 65552468 81940585 118146890 163881170 236293780 327762340 508031627 1016063254 2032126508 2540158135 5080316270 10160632540