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114141020 = 22577111483
BaseRepresentation
bin1101100110110…
…10011101011100
321221202222001012
412303122131130
5213210003040
615154234352
72554116440
oct663323534
9257688035
10114141020
115947a924
12322859b8
131a855186
1411232820
15a049865
hex6cda75c

114141020 has 48 divisors (see below), whose sum is σ = 277820928. Its totient is φ = 38579520.

The previous prime is 114141011. The next prime is 114141023. The reversal of 114141020 is 20141411.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 114140986 and 114141004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114141023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4199 + ... + 15681.

It is an arithmetic number, because the mean of its divisors is an integer number (5787936).

Almost surely, 2114141020 is an apocalyptic number.

114141020 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 114141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138910464).

114141020 is an abundant number, since it is smaller than the sum of its proper divisors (163679908).

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

114141020 is a wasteful number, since it uses less digits than its factorization.

114141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11570 (or 11568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 114141020 is about 10683.6800775763. The cubic root of 114141020 is about 485.0806115344.

Adding to 114141020 its reverse (20141411), we get a palindrome (134282431).

The spelling of 114141020 in words is "one hundred fourteen million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 11483 22966 45932 57415 80381 114830 160762 229660 321524 401905 803810 815293 1607620 1630586 3261172 4076465 5707051 8152930 11414102 16305860 22828204 28535255 57070510 114141020