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127722096 = 2434139709
BaseRepresentation
bin1111001110011…
…10001001110000
322220022221210000
413213032021300
5230144101341
620401310000
73110422425
oct747161160
9286287700
10127722096
1166106557
1236935300
13205cba08
1412d69d4c
15b32d8b6
hex79ce270

127722096 has 100 divisors (see below), whose sum is σ = 372849400. Its totient is φ = 42208128.

The previous prime is 127722043. The next prime is 127722097. The reversal of 127722096 is 690227721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 127722096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127722097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179790 + ... + 180498.

It is an arithmetic number, because the mean of its divisors is an integer number (3728494).

Almost surely, 2127722096 is an apocalyptic number.

127722096 is a gapful number since it is divisible by the number (16) 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 127722096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186424700).

127722096 is an abundant number, since it is smaller than the sum of its proper divisors (245127304).

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

127722096 is a wasteful number, since it uses less digits than its factorization.

127722096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 127722096 is about 11301.4200877589. The cubic root of 127722096 is about 503.6034295385.

The spelling of 127722096 in words is "one hundred twenty-seven million, seven hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 278 324 417 432 556 648 709 834 1112 1251 1296 1418 1668 2127 2224 2502 2836 3336 3753 4254 5004 5672 6381 6672 7506 8508 10008 11259 11344 12762 15012 17016 19143 20016 22518 25524 30024 34032 38286 45036 51048 57429 60048 76572 90072 98551 102096 114858 153144 180144 197102 229716 295653 306288 394204 459432 591306 788408 886959 918864 1182612 1576816 1773918 2365224 2660877 3547836 4730448 5321754 7095672 7982631 10643508 14191344 15965262 21287016 31930524 42574032 63861048 127722096