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114141780 = 223254314747
BaseRepresentation
bin1101100110110…
…10101001010100
321221210000002100
412303122221110
5213210014110
615154242100
72554121604
oct663325124
9257700070
10114141780
1159480455
1232286330
131a85561c
1411232c04
15a049bc0
hex6cdaa54

114141780 has 72 divisors (see below), whose sum is σ = 354305952. Its totient is φ = 29727936.

The previous prime is 114141773. The next prime is 114141787. The reversal of 114141780 is 87141411.

It is an interprime number because it is at equal distance from previous prime (114141773) and next prime (114141787).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114141787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367 + ... + 15113.

It is an arithmetic number, because the mean of its divisors is an integer number (4920916).

Almost surely, 2114141780 is an apocalyptic number.

114141780 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 114141780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177152976).

114141780 is an abundant number, since it is smaller than the sum of its proper divisors (240164172).

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

114141780 is a wasteful number, since it uses less digits than its factorization.

114141780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14805 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 114141780 is about 10683.7156457854. The cubic root of 114141780 is about 485.0816881572.

It can be divided in two parts, 114141 and 780, that added together give a square (114921 = 3392).

The spelling of 114141780 in words is "one hundred fourteen million, one hundred forty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 14747 29494 44241 58988 73735 88482 132723 147470 176964 221205 265446 294940 442410 530892 634121 663615 884820 1268242 1327230 1902363 2536484 2654460 3170605 3804726 5707089 6341210 7609452 9511815 11414178 12682420 19023630 22828356 28535445 38047260 57070890 114141780