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117733440 = 26351111149
BaseRepresentation
bin1110000010001…
…11100001000000
322012112110220210
413001013201000
5220114432230
615403234120
72626501116
oct701074100
9265473823
10117733440
1160503970
1233518940
131b512376
14118c9ab6
15a508eb0
hex7047840

117733440 has 112 divisors (see below), whose sum is σ = 407822400. Its totient is φ = 28538880.

The previous prime is 117733439. The next prime is 117733471. The reversal of 117733440 is 44337711.

It is a super-2 number, since 2×1177334402 = 27722325788467200, 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 = 117733398 and 117733407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4986 + ... + 16134.

Almost surely, 2117733440 is an apocalyptic number.

117733440 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 117733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203911200).

117733440 is an abundant number, since it is smaller than the sum of its proper divisors (290088960).

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

117733440 is a wasteful number, since it uses less digits than its factorization.

117733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11180 (or 11170 counting only the distinct ones).

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

The square root of 117733440 is about 10850.5041357533. The cubic root of 117733440 is about 490.1172008974.

The spelling of 117733440 in words is "one hundred seventeen million, seven hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 11149 22298 33447 44596 55745 66894 89192 111490 122639 133788 167235 178384 222980 245278 267576 334470 356768 367917 445960 490556 535152 613195 668940 713536 735834 891920 981112 1070304 1226390 1337880 1471668 1783840 1839585 1962224 2140608 2452780 2675760 2943336 3567680 3679170 3924448 4905560 5351520 5886672 7358340 7848896 9811120 10703040 11773344 14716680 19622240 23546688 29433360 39244480 58866720 117733440