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115890672 = 2432414389
BaseRepresentation
bin1101110100001…
…01100111110000
322002001212010010
412322011213300
5214132000142
615255534520
72605024452
oct672054760
9262055103
10115890672
115a465417
123298a440
131b018681
141156a2d2
15a292e9c
hex6e859f0

115890672 has 20 divisors (see below), whose sum is σ = 299384360. Its totient is φ = 38630208.

The previous prime is 115890611. The next prime is 115890689. The reversal of 115890672 is 276098511.

It is a super-3 number, since 3×1158906723 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 115890672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1207147 + ... + 1207242.

It is an arithmetic number, because the mean of its divisors is an integer number (14969218).

Almost surely, 2115890672 is an apocalyptic number.

115890672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

115890672 is an abundant number, since it is smaller than the sum of its proper divisors (183493688).

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

115890672 is a wasteful number, since it uses less digits than its factorization.

115890672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414400 (or 2414394 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 115890672 is about 10765.2529928469. The cubic root of 115890672 is about 487.5466316997.

The spelling of 115890672 in words is "one hundred fifteen million, eight hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2414389 4828778 7243167 9657556 14486334 19315112 28972668 38630224 57945336 115890672