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114710440 = 23513271239
BaseRepresentation
bin1101101011001…
…01011110101000
321222211220010211
412311211132220
5213331213230
615214350504
72562010525
oct665453650
9258756124
10114710440
1159829719
12324bb434
131a9c4400
141134014c
15a10d42a
hex6d657a8

114710440 has 96 divisors (see below), whose sum is σ = 284601600. Its totient is φ = 41583360.

The previous prime is 114710423. The next prime is 114710443. The reversal of 114710440 is 44017411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114710443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479841 + ... + 480079.

It is an arithmetic number, because the mean of its divisors is an integer number (2964600).

Almost surely, 2114710440 is an apocalyptic number.

114710440 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 114710440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142300800).

114710440 is an abundant number, since it is smaller than the sum of its proper divisors (169891160).

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

114710440 is a wasteful number, since it uses less digits than its factorization.

114710440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 114710440 is about 10710.2959809708. The cubic root of 114710440 is about 485.8859210529.

Adding to 114710440 its reverse (44017411), we get a palindrome (158727851).

The spelling of 114710440 in words is "one hundred fourteen million, seven hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 169 239 260 284 338 355 478 520 568 676 710 845 923 956 1195 1352 1420 1690 1846 1912 2390 2840 3107 3380 3692 4615 4780 6214 6760 7384 9230 9560 11999 12428 15535 16969 18460 23998 24856 31070 33938 36920 40391 47996 59995 62140 67876 80782 84845 95992 119990 124280 135752 161564 169690 201955 220597 239980 323128 339380 403910 441194 479960 678760 807820 882388 1102985 1615640 1764776 2205970 2867761 4411940 5735522 8823880 11471044 14338805 22942088 28677610 57355220 114710440