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114202540 = 225191492017
BaseRepresentation
bin1101100111010…
…01011110101100
321221220002102201
412303221132230
5213213440130
615155431244
72554464004
oct663513654
9257802381
10114202540
1159512071
12322b5524
131a87718a
141124b004
15a05cbca
hex6ce97ac

114202540 has 48 divisors (see below), whose sum is σ = 254268000. Its totient is φ = 42964992.

The previous prime is 114202531. The next prime is 114202541. The reversal of 114202540 is 45202411.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (114202541) 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, 55612 + ... + 57628.

It is an arithmetic number, because the mean of its divisors is an integer number (5297250).

Almost surely, 2114202540 is an apocalyptic number.

114202540 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 114202540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127134000).

114202540 is an abundant number, since it is smaller than the sum of its proper divisors (140065460).

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

114202540 is a wasteful number, since it uses less digits than its factorization.

114202540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 114202540 is about 10686.5588474494. The cubic root of 114202540 is about 485.1677458512.

Adding to 114202540 its reverse (45202411), we get a palindrome (159404951).

The spelling of 114202540 in words is "one hundred fourteen million, two hundred two thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 149 190 298 380 596 745 1490 2017 2831 2980 4034 5662 8068 10085 11324 14155 20170 28310 38323 40340 56620 76646 153292 191615 300533 383230 601066 766460 1202132 1502665 3005330 5710127 6010660 11420254 22840508 28550635 57101270 114202540