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114245040 = 24357135231
BaseRepresentation
bin1101100111100…
…11110110110000
321221222020201210
412303303312300
5213221320130
615200400120
72555031630
oct663636660
9257866653
10114245040
1159540a98
1232316040
131a890620
141125c6c0
15a06a5b0
hex6cf3db0

114245040 has 160 divisors (see below), whose sum is σ = 435972096. Its totient is φ = 24099840.

The previous prime is 114245029. The next prime is 114245059. The reversal of 114245040 is 40542411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 114244998 and 114245016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19225 + ... + 24455.

Almost surely, 2114245040 is an apocalyptic number.

114245040 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 114245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217986048).

114245040 is an abundant number, since it is smaller than the sum of its proper divisors (321727056).

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

114245040 is a wasteful number, since it uses less digits than its factorization.

114245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 114245040 is about 10688.5471416839. The cubic root of 114245040 is about 485.2279227728.

Adding to 114245040 its reverse (40542411), we get a palindrome (154787451).

The spelling of 114245040 in words is "one hundred fourteen million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5231 5460 7280 10462 10920 15693 20924 21840 26155 31386 36617 41848 52310 62772 68003 73234 78465 83696 104620 109851 125544 136006 146468 156930 183085 204009 209240 219702 251088 272012 292936 313860 340015 366170 408018 418480 439404 476021 544024 549255 585872 627720 680030 732340 816036 878808 952042 1020045 1088048 1098510 1255440 1360060 1428063 1464680 1632072 1757616 1904084 2040090 2197020 2380105 2720120 2856126 2929360 3264144 3808168 4080180 4394040 4760210 5440240 5712252 7140315 7616336 8160360 8788080 9520420 11424504 14280630 16320720 19040840 22849008 28561260 38081680 57122520 114245040