Search a number
-
+
115412256 = 2533312139
BaseRepresentation
bin1101110000100…
…00110100100000
322001011112212000
412320100310200
5214021143011
615241404000
72600662611
oct670206440
9261145760
10115412256
115a168a33
1232799600
131abab99b
1411483c08
15a1eb356
hex6e10d20

115412256 has 144 divisors (see below), whose sum is σ = 350330400. Its totient is φ = 36961920.

The previous prime is 115412243. The next prime is 115412273. The reversal of 115412256 is 652214511.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830235 + ... + 830373.

It is an arithmetic number, because the mean of its divisors is an integer number (2432850).

Almost surely, 2115412256 is an apocalyptic number.

115412256 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 115412256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175165200).

115412256 is an abundant number, since it is smaller than the sum of its proper divisors (234918144).

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

115412256 is a wasteful number, since it uses less digits than its factorization.

115412256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 175 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 115412256 is about 10743.0096341761. The cubic root of 115412256 is about 486.8748151547.

Adding to 115412256 its reverse (652214511), we get a palindrome (767626767).

The spelling of 115412256 in words is "one hundred fifteen million, four hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 139 144 186 216 248 278 279 288 372 417 432 496 556 558 744 834 837 864 961 992 1112 1116 1251 1488 1668 1674 1922 2224 2232 2502 2883 2976 3336 3348 3753 3844 4309 4448 4464 5004 5766 6672 6696 7506 7688 8618 8649 8928 10008 11532 12927 13344 13392 15012 15376 17236 17298 20016 23064 25854 25947 26784 30024 30752 34472 34596 38781 40032 46128 51708 51894 60048 68944 69192 77562 92256 103416 103788 116343 120096 133579 137888 138384 155124 206832 207576 232686 267158 276768 310248 400737 413664 415152 465372 534316 620496 801474 830304 930744 1068632 1202211 1240992 1602948 1861488 2137264 2404422 3205896 3606633 3722976 4274528 4808844 6411792 7213266 9617688 12823584 14426532 19235376 28853064 38470752 57706128 115412256