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115346742 = 2374771823
BaseRepresentation
bin1101110000000…
…00110100110110
322001001012222120
412320000310312
5214012043432
615240140410
72600300610
oct670006466
9261035876
10115346742
115a123795
1232767706
131ab87c14
1411467db0
15a1d6c2c
hex6e00d36

115346742 has 64 divisors (see below), whose sum is σ = 273383424. Its totient is φ = 31762080.

The previous prime is 115346741. The next prime is 115346767. The reversal of 115346742 is 247643511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115346741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139743 + ... + 140565.

It is an arithmetic number, because the mean of its divisors is an integer number (4271616).

Almost surely, 2115346742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115346742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136691712).

115346742 is an abundant number, since it is smaller than the sum of its proper divisors (158036682).

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

115346742 is a wasteful number, since it uses less digits than its factorization.

115346742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953.

The product of its digits is 20160, while the sum is 33.

The square root of 115346742 is about 10739.9600557916. The cubic root of 115346742 is about 486.7826725604.

It can be divided in two parts, 1153 and 46742, that added together give a triangular number (47895 = T309).

The spelling of 115346742 in words is "one hundred fifteen million, three hundred forty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 71 94 141 142 213 282 329 426 497 658 823 987 994 1491 1646 1974 2469 2982 3337 4938 5761 6674 10011 11522 17283 20022 23359 34566 38681 46718 58433 70077 77362 116043 116866 140154 175299 232086 270767 350598 409031 541534 812301 818062 1227093 1624602 2454186 2746351 5492702 8239053 16478106 19224457 38448914 57673371 115346742