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127130256 = 24331131863
BaseRepresentation
bin1111001001111…
…01101010010000
322212012212221000
413210331222100
5230021132011
620340502000
73102406101
oct744755220
9285185830
10127130256
1165841930
12366aa900
1320452506
1412c543a8
15b263356
hex793da90

127130256 has 160 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 37238400.

The previous prime is 127130251. The next prime is 127130281. The reversal of 127130256 is 652031721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (127130251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146881 + ... + 147743.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 2127130256 is an apocalyptic number.

127130256 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 127130256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

127130256 is an abundant number, since it is smaller than the sum of its proper divisors (284271984).

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

127130256 is a wasteful number, since it uses less digits than its factorization.

127130256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 127130256 is about 11275.2053639834. The cubic root of 127130256 is about 502.8243573051.

Adding to 127130256 its reverse (652031721), we get a palindrome (779161977).

The spelling of 127130256 in words is "one hundred twenty-seven million, one hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 837 863 1023 1116 1188 1364 1488 1584 1674 1726 2046 2232 2376 2589 2728 3069 3348 3452 4092 4464 4752 5178 5456 6138 6696 6904 7767 8184 9207 9493 10356 12276 13392 13808 15534 16368 18414 18986 20712 23301 24552 26753 28479 31068 36828 37972 41424 46602 49104 53506 56958 62136 73656 75944 80259 85437 93204 107012 113916 124272 147312 151888 160518 170874 186408 214024 227832 240777 256311 294283 321036 341748 372816 428048 455664 481554 512622 588566 642072 683496 722331 882849 963108 1025244 1177132 1284144 1366992 1444662 1765698 1926216 2050488 2354264 2648547 2889324 3531396 3852432 4100976 4708528 5297094 5778648 7062792 7945641 10594188 11557296 14125584 15891282 21188376 31782564 42376752 63565128 127130256