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117826020 = 2232513431171
BaseRepresentation
bin1110000010111…
…10000111100100
322012201011220200
413001132013210
5220130413040
615405230500
72630335044
oct701360744
9265634820
10117826020
1160567484
1233562430
131b545550
1411911724
15a526630
hex705e1e4

117826020 has 144 divisors (see below), whose sum is σ = 394185792. Its totient is φ = 28304640.

The previous prime is 117826001. The next prime is 117826021. The reversal of 117826020 is 20628711.

It is not an unprimeable number, because it can be changed into a prime (117826021) 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 47 ways as a sum of consecutive naturals, for example, 100035 + ... + 101205.

Almost surely, 2117826020 is an apocalyptic number.

117826020 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 117826020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197092896).

117826020 is an abundant number, since it is smaller than the sum of its proper divisors (276359772).

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

117826020 is a wasteful number, since it uses less digits than its factorization.

117826020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 117826020 is about 10854.7694586297. The cubic root of 117826020 is about 490.2456355547.

The spelling of 117826020 in words is "one hundred seventeen million, eight hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1170 1171 1290 1548 1677 1935 2236 2340 2342 2580 2795 3354 3513 3870 4684 5031 5590 5855 6708 7026 7740 8385 10062 10539 11180 11710 14052 15223 16770 17565 20124 21078 23420 25155 30446 33540 35130 42156 45669 50310 50353 52695 60892 70260 76115 91338 100620 100706 105390 137007 151059 152230 182676 201412 210780 228345 251765 274014 302118 304460 453177 456690 503530 548028 604236 654589 685035 755295 906354 913380 1007060 1309178 1370070 1510590 1812708 1963767 2265885 2618356 2740140 3021180 3272945 3927534 4531770 5891301 6545890 7855068 9063540 9818835 11782602 13091780 19637670 23565204 29456505 39275340 58913010 117826020