Search a number
-
+
127132656 = 24372191283
BaseRepresentation
bin1111001001111…
…10001111110000
322212020000012220
413210332033300
5230021221111
620340521040
73102416100
oct744761760
9285200186
10127132656
1165843712
12366b0180
1320453631
1412c55200
15b263e06
hex793e3f0

127132656 has 120 divisors (see below), whose sum is σ = 385403904. Its totient is φ = 36005760.

The previous prime is 127132633. The next prime is 127132657. The reversal of 127132656 is 656231721.

It is a super-2 number, since 2×1271326562 = 32325424443228672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127132657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449091 + ... + 449373.

Almost surely, 2127132656 is an apocalyptic number.

127132656 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 127132656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192701952).

127132656 is an abundant number, since it is smaller than the sum of its proper divisors (258271248).

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

127132656 is a wasteful number, since it uses less digits than its factorization.

127132656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 127132656 is about 11275.3117916978. The cubic root of 127132656 is about 502.8275214375.

The spelling of 127132656 in words is "one hundred twenty-seven million, one hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 191 196 283 294 336 382 392 566 573 588 764 784 849 1132 1146 1176 1337 1528 1698 1981 2264 2292 2352 2674 3056 3396 3962 4011 4528 4584 5348 5943 6792 7924 8022 9168 9359 10696 11886 13584 13867 15848 16044 18718 21392 23772 27734 28077 31696 32088 37436 41601 47544 54053 55468 56154 64176 74872 83202 95088 108106 110936 112308 149744 162159 166404 216212 221872 224616 324318 332808 378371 432424 449232 648636 665616 756742 864848 1135113 1297272 1513484 2270226 2594544 2648597 3026968 4540452 5297194 6053936 7945791 9080904 10594388 15891582 18161808 21188776 31783164 42377552 63566328 127132656