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131072448 = 26313173089
BaseRepresentation
bin1111101000000…
…00000111000000
3100010122011121010
413310000013000
5232023304243
621001200520
73151045263
oct764000700
9303564533
10131072448
1167a94741
1237a90140
1321202980
141359ccda
15b791433
hex7d001c0

131072448 has 112 divisors (see below), whose sum is σ = 395569440. Its totient is φ = 37945344.

The previous prime is 131072441. The next prime is 131072477. The reversal of 131072448 is 844270131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131072441) 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, 40888 + ... + 43976.

It is an arithmetic number, because the mean of its divisors is an integer number (3531870).

Almost surely, 2131072448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197784720).

131072448 is an abundant number, since it is smaller than the sum of its proper divisors (264496992).

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

131072448 is a wasteful number, since it uses less digits than its factorization.

131072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 131072448 is about 11448.6876103770. The cubic root of 131072448 is about 507.9689153691.

The spelling of 131072448 in words is "one hundred thirty-one million, seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3089 3264 3536 5304 6178 7072 9267 10608 12356 14144 18534 21216 24712 37068 40157 42432 49424 52513 74136 80314 98848 105026 120471 148272 157539 160628 197696 210052 240942 296544 315078 321256 420104 481884 593088 630156 642512 682669 840208 963768 1260312 1285024 1365338 1680416 1927536 2048007 2520624 2570048 2730676 3360832 3855072 4096014 5041248 5461352 7710144 8192028 10082496 10922704 16384056 21845408 32768112 43690816 65536224 131072448