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115224672 = 2531378761
BaseRepresentation
bin1101101111000…
…11000001100000
322000211000112110
412313203001200
5213444142142
615233355320
72566251663
oct667430140
9260730473
10115224672
115a050002
1232708b40
131ab444a4
14114356da
15a1b099c
hex6de3060

115224672 has 48 divisors (see below), whose sum is σ = 304707312. Its totient is φ = 38123520.

The previous prime is 115224671. The next prime is 115224673. The reversal of 115224672 is 276422511.

It is an interprime number because it is at equal distance from previous prime (115224671) and next prime (115224673).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115224671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8772 + ... + 17532.

It is an arithmetic number, because the mean of its divisors is an integer number (6348069).

Almost surely, 2115224672 is an apocalyptic number.

115224672 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 115224672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152353656).

115224672 is an abundant number, since it is smaller than the sum of its proper divisors (189482640).

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

115224672 is a wasteful number, since it uses less digits than its factorization.

115224672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8903 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 115224672 is about 10734.2755694085. The cubic root of 115224672 is about 486.6108932978.

The spelling of 115224672 in words is "one hundred fifteen million, two hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6576 8761 13152 17522 26283 35044 52566 70088 105132 140176 210264 280352 420528 841056 1200257 2400514 3600771 4801028 7201542 9602056 14403084 19204112 28806168 38408224 57612336 115224672