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114211240 = 235111341487
BaseRepresentation
bin1101100111010…
…11100110101000
321221220112100221
412303223212220
5213214224430
615155535424
72554531243
oct663534650
9257815327
10114211240
1159518660
12322ba574
131a87b120
141125025a
15a06057a
hex6ceb9a8

114211240 has 128 divisors (see below), whose sum is σ = 309899520. Its totient is φ = 37324800.

The previous prime is 114211217. The next prime is 114211243. The reversal of 114211240 is 42112411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114211243) 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, 234277 + ... + 234763.

It is an arithmetic number, because the mean of its divisors is an integer number (2421090).

Almost surely, 2114211240 is an apocalyptic number.

114211240 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 114211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

114211240 is an abundant number, since it is smaller than the sum of its proper divisors (195688280).

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

114211240 is a wasteful number, since it uses less digits than its factorization.

114211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 114211240 is about 10686.9658930868. The cubic root of 114211240 is about 485.1800656361.

Adding to 114211240 its reverse (42112411), we get a palindrome (156323651).

It can be divided in two parts, 1 and 14211240, that added together give a palindrome (14211241).

The spelling of 114211240 in words is "one hundred fourteen million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 41 44 52 55 65 82 88 104 110 130 143 164 205 220 260 286 328 410 440 451 487 520 533 572 715 820 902 974 1066 1144 1430 1640 1804 1948 2132 2255 2435 2665 2860 3608 3896 4264 4510 4870 5330 5357 5720 5863 6331 9020 9740 10660 10714 11726 12662 18040 19480 19967 21320 21428 23452 25324 26785 29315 31655 39934 42856 46904 50648 53570 58630 63310 69641 79868 99835 107140 117260 126620 139282 159736 199670 214280 219637 234520 253240 259571 278564 348205 399340 439274 519142 557128 696410 798680 878548 1038284 1098185 1297855 1392820 1757096 2076568 2196370 2595710 2785640 2855281 4392740 5191420 5710562 8785480 10382840 11421124 14276405 22842248 28552810 57105620 114211240