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114301356 = 223137310037
BaseRepresentation
bin1101101000000…
…01100110101100
321222002002222120
412310001212230
5213230120411
615201512540
72555355051
oct664014654
9258062876
10114301356
115957a334
1232342750
131a8b0150
1411275028
15a07c106
hex6d019ac

114301356 has 48 divisors (see below), whose sum is σ = 291182304. Its totient is φ = 34684416.

The previous prime is 114301333. The next prime is 114301357. The reversal of 114301356 is 653103411.

It is not an unprimeable number, because it can be changed into a prime (114301357) 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, 6370 + ... + 16406.

It is an arithmetic number, because the mean of its divisors is an integer number (6066298).

Almost surely, 2114301356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114301356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145591152).

114301356 is an abundant number, since it is smaller than the sum of its proper divisors (176880948).

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

114301356 is a wasteful number, since it uses less digits than its factorization.

114301356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 114301356 is about 10691.1812256644. The cubic root of 114301356 is about 485.3076391639.

Adding to 114301356 its reverse (653103411), we get a palindrome (767404767).

The spelling of 114301356 in words is "one hundred fourteen million, three hundred one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 1898 2847 3796 5694 10037 11388 20074 30111 40148 60222 120444 130481 260962 391443 521924 732701 782886 1465402 1565772 2198103 2930804 4396206 8792412 9525113 19050226 28575339 38100452 57150678 114301356