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114142420 = 225717199241
BaseRepresentation
bin1101100110110…
…10110011010100
321221210000222001
412303122303110
5213210024140
615154245044
72554123510
oct663326324
9257700861
10114142420
1159480987
1232286784
131a8559c2
1411233140
15a049e9a
hex6cdacd4

114142420 has 96 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 36495360.

The previous prime is 114142417. The next prime is 114142421. The reversal of 114142420 is 24241411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114142421) 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, 473500 + ... + 473740.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2114142420 is an apocalyptic number.

114142420 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 114142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

114142420 is an abundant number, since it is smaller than the sum of its proper divisors (178580780).

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

114142420 is a wasteful number, since it uses less digits than its factorization.

114142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 114142420 is about 10683.7455978697. The cubic root of 114142420 is about 485.0825947831.

Adding to 114142420 its reverse (24241411), we get a palindrome (138383831).

The spelling of 114142420 in words is "one hundred fourteen million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 199 238 241 340 398 476 482 595 796 964 995 1190 1205 1393 1687 1990 2380 2410 2786 3374 3383 3980 4097 4820 5572 6748 6766 6965 8194 8435 13532 13930 16388 16870 16915 20485 23681 27860 28679 33740 33830 40970 47362 47959 57358 67660 81940 94724 95918 114716 118405 143395 191836 236810 239795 286790 335713 473620 479590 573580 671426 815303 959180 1342852 1630606 1678565 3261212 3357130 4076515 5707121 6714260 8153030 11414242 16306060 22828484 28535605 57071210 114142420