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117249012 = 22334126479
BaseRepresentation
bin1101111110100…
…01001111110100
322011121212102000
412333101033310
5220003432022
615345015300
72622412566
oct677211764
9264555360
10117249012
1160202a11
1233324530
131b3a2a1a
1411801336
15a4606ac
hex6fd13f4

117249012 has 48 divisors (see below), whose sum is σ = 311404800. Its totient is φ = 38128320.

The previous prime is 117248987. The next prime is 117249029. The reversal of 117249012 is 210942711.

117249012 is a `hidden beast` number, since 1 + 172 + 490 + 1 + 2 = 666.

It is a super-2 number, since 2×1172490122 = 27494661629952288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8812 + ... + 17667.

It is an arithmetic number, because the mean of its divisors is an integer number (6487600).

Almost surely, 2117249012 is an apocalyptic number.

117249012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117249012 is an abundant number, since it is smaller than the sum of its proper divisors (194155788).

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

117249012 is a wasteful number, since it uses less digits than its factorization.

117249012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26533 (or 26525 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117249012 is about 10828.1582921566. The cubic root of 117249012 is about 489.4440619786. Note that the first 3 decimals are identical.

It can be divided in two parts, 11724901 and 2, that added together give a triangular number (11724903 = T4842).

The spelling of 117249012 in words is "one hundred seventeen million, two hundred forty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 26479 52958 79437 105916 158874 238311 317748 476622 714933 953244 1085639 1429866 2171278 2859732 3256917 4342556 6513834 9770751 13027668 19541502 29312253 39083004 58624506 117249012