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117611130 = 23571367643
BaseRepresentation
bin1110000001010…
…01101001111010
322012022021010210
413000221221322
5220102024010
615400451550
72625451410
oct700515172
9265267123
10117611130
116042aa8a
1233479bb6
131b49b7b0
14118972b0
15a4d2b20
hex7029a7a

117611130 has 128 divisors (see below), whose sum is σ = 353138688. Its totient is φ = 24406272.

The previous prime is 117611129. The next prime is 117611141. The reversal of 117611130 is 31116711.

117611130 = T1359 + T1360 + ... + T1475.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 117611097 and 117611106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 182589 + ... + 183231.

It is an arithmetic number, because the mean of its divisors is an integer number (2758896).

Almost surely, 2117611130 is an apocalyptic number.

117611130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117611130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176569344).

117611130 is an abundant number, since it is smaller than the sum of its proper divisors (235527558).

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

117611130 is a wasteful number, since it uses less digits than its factorization.

117611130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740.

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 117611130 is about 10844.8665275327. The cubic root of 117611130 is about 489.9474190420.

Adding to 117611130 its reverse (31116711), we get a palindrome (148727841).

The spelling of 117611130 in words is "one hundred seventeen million, six hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 67 70 78 91 105 130 134 182 195 201 210 273 335 390 402 455 469 546 643 670 871 910 938 1005 1286 1365 1407 1742 1929 2010 2345 2613 2730 2814 3215 3858 4355 4501 4690 5226 6097 6430 7035 8359 8710 9002 9645 12194 13065 13503 14070 16718 18291 19290 22505 25077 26130 27006 30485 36582 41795 43081 45010 50154 58513 60970 67515 83590 86162 91455 117026 125385 129243 135030 175539 182910 215405 250770 258486 292565 301567 351078 430810 560053 585130 603134 646215 877695 904701 1120106 1292430 1507835 1680159 1755390 1809402 2800265 3015670 3360318 3920371 4523505 5600530 7840742 8400795 9047010 11761113 16801590 19601855 23522226 39203710 58805565 117611130