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114523020 = 223254713537
BaseRepresentation
bin1101101001101…
…11101110001100
321222111101001100
412310313232030
5213304214040
615210343100
72560300233
oct664675614
9258441040
10114523020
1159710927
123242aa90
131a95a001
14112d1b1a
15a0c2b30
hex6d37b8c

114523020 has 72 divisors (see below), whose sum is σ = 354803904. Its totient is φ = 29887488.

The previous prime is 114523009. The next prime is 114523037. The reversal of 114523020 is 20325411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114522984 and 114523002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692 + ... + 15228.

It is an arithmetic number, because the mean of its divisors is an integer number (4927832).

Almost surely, 2114523020 is an apocalyptic number.

114523020 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 114523020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177401952).

114523020 is an abundant number, since it is smaller than the sum of its proper divisors (240280884).

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

114523020 is a wasteful number, since it uses less digits than its factorization.

114523020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13599 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114523020 is about 10701.5428794170. The cubic root of 114523020 is about 485.6211547426.

Adding to 114523020 its reverse (20325411), we get a palindrome (134848431).

The spelling of 114523020 in words is "one hundred fourteen million, five hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 13537 27074 40611 54148 67685 81222 121833 135370 162444 203055 243666 270740 406110 487332 609165 636239 812220 1218330 1272478 1908717 2436660 2544956 3181195 3817434 5726151 6362390 7634868 9543585 11452302 12724780 19087170 22904604 28630755 38174340 57261510 114523020