Search a number
-
+
114751080 = 23345107331
BaseRepresentation
bin1101101011011…
…11011001101000
321222220221220000
412311233121220
5213334013310
615215303000
72562240153
oct665573150
9258827800
10114751080
1159857204
123251aa60
131aa09a62
1411350c9a
15a11a4c0
hex6d6f668

114751080 has 160 divisors (see below), whose sum is σ = 390471840. Its totient is φ = 30222720.

The previous prime is 114751079. The next prime is 114751093. The reversal of 114751080 is 80157411.

114751080 is a `hidden beast` number, since 1 + 147 + 510 + 8 + 0 = 666.

It is a super-2 number, since 2×1147510802 = 26335620722332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 346515 + ... + 346845.

It is an arithmetic number, because the mean of its divisors is an integer number (2440449).

Almost surely, 2114751080 is an apocalyptic number.

114751080 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 114751080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195235920).

114751080 is an abundant number, since it is smaller than the sum of its proper divisors (275720760).

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

114751080 is a wasteful number, since it uses less digits than its factorization.

114751080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 114751080 is about 10712.1930527787. The cubic root of 114751080 is about 485.9432947100.

The spelling of 114751080 in words is "one hundred fourteen million, seven hundred fifty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 107 108 120 135 162 180 214 216 270 321 324 331 360 405 428 535 540 642 648 662 810 856 963 993 1070 1080 1284 1324 1605 1620 1655 1926 1986 2140 2568 2648 2889 2979 3210 3240 3310 3852 3972 4280 4815 4965 5778 5958 6420 6620 7704 7944 8667 8937 9630 9930 11556 11916 12840 13240 14445 14895 17334 17874 19260 19860 23112 23832 26811 28890 29790 34668 35417 35748 38520 39720 43335 44685 53622 57780 59580 69336 70834 71496 86670 89370 106251 107244 115560 119160 134055 141668 173340 177085 178740 212502 214488 268110 283336 318753 346680 354170 357480 425004 531255 536220 637506 708340 850008 956259 1062510 1072440 1275012 1416680 1593765 1912518 2125020 2550024 2868777 3187530 3825036 4250040 4781295 5737554 6375060 7650072 9562590 11475108 12750120 14343885 19125180 22950216 28687770 38250360 57375540 114751080