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126950160 = 2435836373
BaseRepresentation
bin1111001000100…
…01101100010000
322211212201212210
413210101230100
5224444401120
620332552120
73101026041
oct744215420
9284781783
10126950160
1165729597
1236622640
13203bb54c
1412c088c8
15b229ce0
hex7911b10

126950160 has 80 divisors (see below), whose sum is σ = 398349504. Its totient is φ = 33440256.

The previous prime is 126950143. The next prime is 126950167. The reversal of 126950160 is 61059621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1269501602 = 32232686248051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (126950167) 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 15 ways as a sum of consecutive naturals, for example, 16734 + ... + 23106.

Almost surely, 2126950160 is an apocalyptic number.

126950160 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 126950160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199174752).

126950160 is an abundant number, since it is smaller than the sum of its proper divisors (271399344).

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

126950160 is a wasteful number, since it uses less digits than its factorization.

126950160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 126950160 is about 11267.2161601702. The cubic root of 126950160 is about 502.5868071115.

The spelling of 126950160 in words is "one hundred twenty-six million, nine hundred fifty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6373 6640 9960 12746 19119 19920 25492 31865 38238 50984 63730 76476 95595 101968 127460 152952 191190 254920 305904 382380 509840 528959 764760 1057918 1529520 1586877 2115836 2644795 3173754 4231672 5289590 6347508 7934385 8463344 10579180 12695016 15868770 21158360 25390032 31737540 42316720 63475080 126950160