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114232440 = 23357239569
BaseRepresentation
bin1101100111100…
…00110001111000
321221221121110010
412303300301320
5213220414230
615200221520
72554650120
oct663606170
9257847403
10114232440
1159532583
123230a8a0
131a88797a
1411257c80
15a0669b0
hex6cf0c78

114232440 has 128 divisors (see below), whose sum is σ = 393984000. Its totient is φ = 25955328.

The previous prime is 114232439. The next prime is 114232441. The reversal of 114232440 is 44232411.

It is an interprime number because it is at equal distance from previous prime (114232439) and next prime (114232441).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114232441) 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, 200476 + ... + 201044.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 2114232440 is an apocalyptic number.

114232440 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 114232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

114232440 is an abundant number, since it is smaller than the sum of its proper divisors (279751560).

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

114232440 is a wasteful number, since it uses less digits than its factorization.

114232440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 114232440 is about 10687.9577094972. The cubic root of 114232440 is about 485.2100836421.

Adding to 114232440 its reverse (44232411), we get a palindrome (158464851).

The spelling of 114232440 in words is "one hundred fourteen million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 239 280 420 478 569 717 840 956 1138 1195 1434 1673 1707 1912 2276 2390 2845 2868 3346 3414 3585 3983 4552 4780 5019 5690 5736 6692 6828 7170 7966 8365 8535 9560 10038 11380 11949 13384 13656 14340 15932 16730 17070 19915 20076 22760 23898 25095 28680 31864 33460 34140 39830 40152 47796 50190 59745 66920 68280 79660 95592 100380 119490 135991 159320 200760 238980 271982 407973 477960 543964 679955 815946 951937 1087928 1359910 1631892 1903874 2039865 2719820 2855811 3263784 3807748 4079730 4759685 5439640 5711622 7615496 8159460 9519370 11423244 14279055 16318920 19038740 22846488 28558110 38077480 57116220 114232440