Search a number
-
+
126989632 = 2671173353
BaseRepresentation
bin1111001000110…
…11010101000000
322211221202000201
413210123111000
5230002132012
620333454544
73101252110
oct744332500
9284852021
10126989632
1165756210
1236641454
13204034c3
1412c19040
15b236857
hex791b540

126989632 has 112 divisors (see below), whose sum is σ = 319381632. Its totient is φ = 48660480.

The previous prime is 126989593. The next prime is 126989651. The reversal of 126989632 is 236989621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1269896322 = 32252733270990848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359568 + ... + 359920.

Almost surely, 2126989632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126989632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159690816).

126989632 is an abundant number, since it is smaller than the sum of its proper divisors (192392000).

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

126989632 is a wasteful number, since it uses less digits than its factorization.

126989632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The square root of 126989632 is about 11268.9676545813. The cubic root of 126989632 is about 502.6388906766.

The spelling of 126989632 in words is "one hundred twenty-six million, nine hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 73 77 88 112 146 154 176 224 292 308 352 353 448 511 584 616 704 706 803 1022 1168 1232 1412 1606 2044 2336 2464 2471 2824 3212 3883 4088 4672 4928 4942 5621 5648 6424 7766 8176 9884 11242 11296 12848 15532 16352 19768 22484 22592 25696 25769 27181 31064 32704 39536 44968 51392 51538 54362 62128 79072 89936 103076 108724 124256 158144 179872 180383 206152 217448 248512 283459 359744 360766 412304 434896 566918 721532 824608 869792 1133836 1443064 1649216 1739584 1984213 2267672 2886128 3968426 4535344 5772256 7936852 9070688 11544512 15873704 18141376 31747408 63494816 126989632