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117204048 = 243213137457
BaseRepresentation
bin1101111110001…
…10010001010000
322011112120201200
412333012101100
5220001012143
615344031200
72622134523
oct677062120
9264476650
10117204048
1160182155
1233302500
131b388410
14117ccbba
15a4521d3
hex6fc6450

117204048 has 120 divisors (see below), whose sum is σ = 356596968. Its totient is φ = 35721216.

The previous prime is 117204047. The next prime is 117204071. The reversal of 117204048 is 840402711.

It can be written as a sum of positive squares in 4 ways, for example, as 21790224 + 95413824 = 4668^2 + 9768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117204047) 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 23 ways as a sum of consecutive naturals, for example, 256236 + ... + 256692.

Almost surely, 2117204048 is an apocalyptic number.

117204048 is a gapful number since it is divisible by the number (18) 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 117204048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178298484).

117204048 is an abundant number, since it is smaller than the sum of its proper divisors (239392920).

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

117204048 is a wasteful number, since it uses less digits than its factorization.

117204048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 117204048 is about 10826.0818397054. The cubic root of 117204048 is about 489.3814880992.

Adding to 117204048 its reverse (840402711), we get a palindrome (957606759).

The spelling of 117204048 in words is "one hundred seventeen million, two hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 137 144 156 208 234 274 312 411 457 468 548 624 822 914 936 1096 1233 1371 1644 1781 1828 1872 2192 2466 2742 3288 3562 3656 4113 4932 5343 5484 5941 6576 7124 7312 8226 9864 10686 10968 11882 14248 16029 16452 17823 19728 21372 21936 23764 28496 32058 32904 35646 42744 47528 53469 62609 64116 65808 71292 85488 95056 106938 125218 128232 142584 187827 213876 250436 256464 285168 375654 427752 500872 563481 751308 813917 855504 1001744 1126962 1502616 1627834 2253924 2441751 3005232 3255668 4507848 4883502 6511336 7325253 9015696 9767004 13022672 14650506 19534008 29301012 39068016 58602024 117204048