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117477140 = 2251117101311
BaseRepresentation
bin1110000000010…
…00111100010100
322012001110100012
413000020330110
5220033232030
615353535352
72624352644
oct700107424
9265043305
10117477140
1160349350
1233414558
131b452801
1411860524
15a4a8095
hex7008f14

117477140 has 96 divisors (see below), whose sum is σ = 288707328. Its totient is φ = 39680000.

The previous prime is 117477131. The next prime is 117477149. The reversal of 117477140 is 41774711.

It is an interprime number because it is at equal distance from previous prime (117477131) and next prime (117477149).

It is a junction number, because it is equal to n+sod(n) for n = 117477097 and 117477106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117477149) 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, 377585 + ... + 377895.

It is an arithmetic number, because the mean of its divisors is an integer number (3007368).

Almost surely, 2117477140 is an apocalyptic number.

117477140 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 117477140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353664).

117477140 is an abundant number, since it is smaller than the sum of its proper divisors (171230188).

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

117477140 is a wasteful number, since it uses less digits than its factorization.

117477140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The square root of 117477140 is about 10838.6871898768. The cubic root of 117477140 is about 489.7612886970.

The spelling of 117477140 in words is "one hundred seventeen million, four hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 101 110 170 187 202 220 311 340 374 404 505 622 748 935 1010 1111 1244 1555 1717 1870 2020 2222 3110 3421 3434 3740 4444 5287 5555 6220 6842 6868 8585 10574 11110 13684 17105 17170 18887 21148 22220 26435 31411 34210 34340 37774 52870 58157 62822 68420 75548 94435 105740 116314 125644 157055 188870 232628 290785 314110 345521 377740 533987 581570 628220 691042 1067974 1163140 1382084 1727605 2135948 2669935 3455210 5339870 5873857 6910420 10679740 11747714 23495428 29369285 58738570 117477140