Search a number
-
+
120726550 = 25274147179
BaseRepresentation
bin1110011001000…
…10010000010110
322102011112200201
413030202100112
5221401222200
615551331114
72664105310
oct714422026
9272145621
10120726550
116216870a
1234520a9a
131c01c839
14120687b0
15a8eac6a
hex7322416

120726550 has 96 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 39302400.

The previous prime is 120726533. The next prime is 120726553. The reversal of 120726550 is 55627021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120726553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674361 + ... + 674539.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2120726550 is an apocalyptic number.

120726550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120726550 is an abundant number, since it is smaller than the sum of its proper divisors (149256170).

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

120726550 is a wasteful number, since it uses less digits than its factorization.

120726550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 120726550 is about 10987.5634241628. The cubic root of 120726550 is about 494.2358716680.

It can be divided in two parts, 12072 and 6550, that multiplied together give a triangular number (79071600 = T12575).

The spelling of 120726550 in words is "one hundred twenty million, seven hundred twenty-six thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 41 47 50 70 82 94 175 179 205 235 287 329 350 358 410 470 574 658 895 1025 1175 1253 1435 1645 1790 1927 2050 2350 2506 2870 3290 3854 4475 6265 7175 7339 8225 8413 8950 9635 12530 13489 14350 14678 16450 16826 19270 26978 31325 36695 42065 48175 51373 58891 62650 67445 73390 84130 96350 102746 117782 134890 183475 210325 256865 294455 337225 344933 366950 420650 513730 588910 674450 689866 1284325 1472275 1724665 2414531 2568650 2944550 3449330 4829062 8623325 12072655 17246650 24145310 60363275 120726550