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114997740 = 2235111321031
BaseRepresentation
bin1101101101010…
…11100111101100
322000101111020120
412312223213230
5213414411430
615224444540
72564315244
oct666534754
9260344216
10114997740
1159a05560
1232619750
131aa95100
14113b6b24
15a168610
hex6dab9ec

114997740 has 144 divisors (see below), whose sum is σ = 380733696. Its totient is φ = 25708800.

The previous prime is 114997733. The next prime is 114997759. The reversal of 114997740 is 47799411.

It is a junction number, because it is equal to n+sod(n) for n = 114997692 and 114997701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111025 + ... + 112055.

It is an arithmetic number, because the mean of its divisors is an integer number (2643984).

Almost surely, 2114997740 is an apocalyptic number.

114997740 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 114997740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190366848).

114997740 is an abundant number, since it is smaller than the sum of its proper divisors (265735956).

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

114997740 is a wasteful number, since it uses less digits than its factorization.

114997740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 114997740 is about 10723.6999212026. The cubic root of 114997740 is about 486.2912275078.

It can be divided in two parts, 1149 and 97740, that added together give a palindrome (98889).

The spelling of 114997740 in words is "one hundred fourteen million, nine hundred ninety-seven thousand, seven 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 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1031 1430 1690 1716 1859 2028 2062 2145 2535 2860 3093 3380 3718 4124 4290 5070 5155 5577 6186 7436 8580 9295 10140 10310 11154 11341 12372 13403 15465 18590 20620 22308 22682 26806 27885 30930 34023 37180 40209 45364 53612 55770 56705 61860 67015 68046 80418 111540 113410 134030 136092 147433 160836 170115 174239 201045 226820 268060 294866 340230 348478 402090 442299 522717 589732 680460 696956 737165 804180 871195 884598 1045434 1474330 1742390 1769196 1916629 2090868 2211495 2613585 2948660 3484780 3833258 4422990 5227170 5749887 7666516 8845980 9583145 10454340 11499774 19166290 22999548 28749435 38332580 57498870 114997740