Search a number
-
+
114302988 = 2234587601
BaseRepresentation
bin1101101000000…
…10000000001100
321222002012020000
412310002000030
5213230143423
615201524300
72555362602
oct664020014
9258065200
10114302988
1159580588
1232343690
131a8b0b07
1411275872
15a07c843
hex6d0200c

114302988 has 60 divisors (see below), whose sum is σ = 299817672. Its totient is φ = 37972800.

The previous prime is 114302963. The next prime is 114302999. The reversal of 114302988 is 889203411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189888 + ... + 190488.

Almost surely, 2114302988 is an apocalyptic number.

114302988 is a gapful number since it is divisible by the number (18) 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 114302988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149908836).

114302988 is an abundant number, since it is smaller than the sum of its proper divisors (185514684).

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

114302988 is a wasteful number, since it uses less digits than its factorization.

114302988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 114302988 is about 10691.2575499798. The cubic root of 114302988 is about 485.3099489011.

The spelling of 114302988 in words is "one hundred fourteen million, three hundred two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 587 601 1174 1202 1761 1803 2348 2404 3522 3606 5283 5409 7044 7212 10566 10818 15849 16227 21132 21636 31698 32454 47547 48681 63396 64908 95094 97362 190188 194724 352787 705574 1058361 1411148 2116722 3175083 4233444 6350166 9525249 12700332 19050498 28575747 38100996 57151494 114302988