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116015445 = 32571341691
BaseRepresentation
bin1101110101001…
…00000101010101
322002022012021100
412322210011111
5214144443240
615302340313
72606054310
oct672440525
9262265240
10116015445
115a540137
1232a2a699
131b0603c0
141159d977
15a2b9e30
hex6ea4155

116015445 has 96 divisors (see below), whose sum is σ = 253903104. Its totient is φ = 47692800.

The previous prime is 116015443. The next prime is 116015447. The reversal of 116015445 is 544510611.

116015445 is a `hidden beast` number, since 1 + 1 + 601 + 54 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (116015443) and next prime (116015447).

It is not a de Polignac number, because 116015445 - 21 = 116015443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116015443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167550 + ... + 168240.

It is an arithmetic number, because the mean of its divisors is an integer number (2644824).

Almost surely, 2116015445 is an apocalyptic number.

116015445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116015445 is the 6219-th octagonal number.

It is an amenable number.

116015445 is an abundant number, since it is smaller than the sum of its proper divisors (137887659).

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

116015445 is a wasteful number, since it uses less digits than its factorization.

116015445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 760 counting only the distinct ones).

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

The square root of 116015445 is about 10771.0466065281. The cubic root of 116015445 is about 487.7215403332.

The spelling of 116015445 in words is "one hundred sixteen million, fifteen thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 41 45 63 65 91 105 117 123 195 205 273 287 315 369 455 533 585 615 691 819 861 1365 1435 1599 1845 2073 2583 2665 3455 3731 4095 4305 4797 4837 6219 7995 8983 10365 11193 12915 14511 18655 23985 24185 26949 28331 31095 33579 43533 44915 55965 62881 72555 80847 84993 134745 141655 167895 188643 198317 217665 254979 314405 368303 404235 424965 565929 594951 943215 991585 1104909 1274895 1784853 1841515 2578121 2829645 2974755 3314727 5524545 7734363 8924265 12890605 16573635 23203089 38671815 116015445