Search a number
-
+
101426560 = 275192439
BaseRepresentation
bin1100000101110…
…10010110000000
321001212000002021
412002322112000
5201431122220
614021531224
72341053154
oct602722600
9231760067
10101426560
1152286304
1229b73b14
1318022c21
14d683064
158d874aa
hex60ba580

101426560 has 96 divisors (see below), whose sum is σ = 256489200. Its totient is φ = 38347776.

The previous prime is 101426557. The next prime is 101426561. The reversal of 101426560 is 65624101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101426561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230821 + ... + 231259.

Almost surely, 2101426560 is an apocalyptic number.

101426560 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 101426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128244600).

101426560 is an abundant number, since it is smaller than the sum of its proper divisors (155062640).

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

101426560 is an equidigital number, since it uses as much as digits as its factorization.

101426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 101426560 is about 10071.0754142743. The cubic root of 101426560 is about 466.3556385543.

The spelling of 101426560 in words is "one hundred one million, four hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 361 380 439 608 640 722 760 878 1216 1444 1520 1756 1805 2195 2432 2888 3040 3512 3610 4390 5776 6080 7024 7220 8341 8780 11552 12160 14048 14440 16682 17560 23104 28096 28880 33364 35120 41705 46208 56192 57760 66728 70240 83410 115520 133456 140480 158479 166820 231040 266912 280960 316958 333640 533824 633916 667280 792395 1067648 1267832 1334560 1584790 2535664 2669120 3169580 5071328 5338240 6339160 10142656 12678320 20285312 25356640 50713280 101426560