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115126272 = 21234347
BaseRepresentation
bin1101101110010…
…11000000000000
322000122000120000
412313023000000
5213433020042
615231320000
72565362052
oct667130000
9260560500
10115126272
1159a93088
1232680000
131ab0b771
141140b8d2
15a19174c
hex6dcb000

115126272 has 130 divisors (see below), whose sum is σ = 344906628. Its totient is φ = 38264832.

The previous prime is 115126223. The next prime is 115126273. The reversal of 115126272 is 272621511.

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 (115126273) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331603 + ... + 331949.

Almost surely, 2115126272 is an apocalyptic number.

115126272 is a gapful number since it is divisible by the number (12) 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 115126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172453314).

115126272 is an abundant number, since it is smaller than the sum of its proper divisors (229780356).

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

115126272 is an frugal number, since it uses more digits than its factorization.

115126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 352 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 115126272 is about 10729.6911418736. The cubic root of 115126272 is about 486.4723345793.

Adding to 115126272 its reverse (272621511), we get a palindrome (387747783).

The spelling of 115126272 in words is "one hundred fifteen million, one hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 347 384 432 512 576 648 694 768 864 1024 1041 1152 1296 1388 1536 1728 2048 2082 2304 2592 2776 3072 3123 3456 4096 4164 4608 5184 5552 6144 6246 6912 8328 9216 9369 10368 11104 12288 12492 13824 16656 18432 18738 20736 22208 24984 27648 28107 33312 36864 37476 41472 44416 49968 55296 56214 66624 74952 82944 88832 99936 110592 112428 133248 149904 165888 177664 199872 224856 266496 299808 331776 355328 399744 449712 532992 599616 710656 799488 899424 1065984 1199232 1421312 1598976 1798848 2131968 2398464 3197952 3597696 4263936 4796928 6395904 7195392 9593856 12791808 14390784 19187712 28781568 38375424 57563136 115126272