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117743340 = 2235111313723
BaseRepresentation
bin1110000010010…
…01111011101100
322012112222111110
413001021323230
5220120241330
615403352020
72626542021
oct701117354
9265488443
10117743340
1160510350
1233522610
131b516a20
14118cd548
15a50bdb0
hex7049eec

117743340 has 96 divisors (see below), whose sum is σ = 387346176. Its totient is φ = 26346240.

The previous prime is 117743333. The next prime is 117743341. The reversal of 117743340 is 43347711.

It is a super-2 number, since 2×1177433402 = 27726988228711200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 117743298 and 117743307.

It is not an unprimeable number, because it can be changed into a prime (117743341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1719 + ... + 15441.

It is an arithmetic number, because the mean of its divisors is an integer number (4034856).

Almost surely, 2117743340 is an apocalyptic number.

117743340 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 117743340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193673088).

117743340 is an abundant number, since it is smaller than the sum of its proper divisors (269602836).

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

117743340 is a wasteful number, since it uses less digits than its factorization.

117743340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13759 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 117743340 is about 10850.9603261647. The cubic root of 117743340 is about 490.1309382131.

The spelling of 117743340 in words is "one hundred seventeen million, seven hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 13723 27446 41169 54892 68615 82338 137230 150953 164676 178399 205845 274460 301906 356798 411690 452859 535197 603812 713596 754765 823380 891995 905718 1070394 1509530 1783990 1811436 1962389 2140788 2264295 2675985 3019060 3567980 3924778 4528590 5351970 5887167 7849556 9057180 9811945 10703940 11774334 19623890 23548668 29435835 39247780 58871670 117743340