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115691340 = 223541131359
BaseRepresentation
bin1101110010101…
…00111101001100
322001200201200110
412321110331030
5214104110330
615251400020
72603234352
oct671247514
9261621613
10115691340
115a339686
12328b3010
131ac78a1b
14115177d2
15a253db0
hex6e54f4c

115691340 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 29785600.

The previous prime is 115691309. The next prime is 115691363. The reversal of 115691340 is 43196511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 115691298 and 115691307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322081 + ... + 322439.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2115691340 is an apocalyptic number.

115691340 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 115691340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

115691340 is an abundant number, since it is smaller than the sum of its proper divisors (219609780).

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

115691340 is a wasteful number, since it uses less digits than its factorization.

115691340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 115691340 is about 10755.9908888024. The cubic root of 115691340 is about 487.2669444869.

The spelling of 115691340 in words is "one hundred fifteen million, six hundred ninety-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 131 164 205 246 262 359 393 410 492 524 615 655 718 786 820 1077 1230 1310 1436 1572 1795 1965 2154 2460 2620 3590 3930 4308 5371 5385 7180 7860 10742 10770 14719 16113 21484 21540 26855 29438 32226 44157 47029 53710 58876 64452 73595 80565 88314 94058 107420 141087 147190 161130 176628 188116 220785 235145 282174 294380 322260 441570 470290 564348 705435 883140 940580 1410870 1928189 2821740 3856378 5784567 7712756 9640945 11569134 19281890 23138268 28922835 38563780 57845670 115691340