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115133440 = 2105113199
BaseRepresentation
bin1101101110011…
…00110000000000
322000122101101111
412313030300000
5213433232230
615231413104
72565422002
oct667146000
9260571344
10115133440
1159a98504
1232684194
131ab11ac6
1411410372
15a19392a
hex6dccc00

115133440 has 88 divisors (see below), whose sum is σ = 280029600. Its totient is φ = 45416448.

The previous prime is 115133399. The next prime is 115133443. The reversal of 115133440 is 44331511.

It is not an unprimeable number, because it can be changed into a prime (115133443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578461 + ... + 578659.

Almost surely, 2115133440 is an apocalyptic number.

115133440 is a gapful number since it is divisible by the number (10) 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 115133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140014800).

115133440 is an abundant number, since it is smaller than the sum of its proper divisors (164896160).

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

115133440 is a wasteful number, since it uses less digits than its factorization.

115133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 115133440 is about 10730.0251630646. The cubic root of 115133440 is about 486.4824306280.

Adding to 115133440 its reverse (44331511), we get a palindrome (159464951).

The spelling of 115133440 in words is "one hundred fifteen million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 199 226 256 320 398 452 512 565 640 796 904 995 1024 1130 1280 1592 1808 1990 2260 2560 3184 3616 3980 4520 5120 6368 7232 7960 9040 12736 14464 15920 18080 22487 25472 28928 31840 36160 44974 50944 57856 63680 72320 89948 101888 112435 115712 127360 144640 179896 203776 224870 254720 289280 359792 449740 509440 578560 719584 899480 1018880 1439168 1798960 2878336 3597920 5756672 7195840 11513344 14391680 23026688 28783360 57566720 115133440