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114830040 = 23351373609
BaseRepresentation
bin1101101100000…
…10101011011000
322000001222012110
412312002223120
5213344030130
615221112320
72563016313
oct666025330
9260058173
10114830040
1159900566
12325586a0
131aa36990
141137197a
15a133ab0
hex6d82ad8

114830040 has 64 divisors (see below), whose sum is σ = 370994400. Its totient is φ = 28265472.

The previous prime is 114830039. The next prime is 114830041. The reversal of 114830040 is 40038411.

It is an interprime number because it is at equal distance from previous prime (114830039) and next prime (114830041).

It is a junction number, because it is equal to n+sod(n) for n = 114829989 and 114830016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114830041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35245 + ... + 38364.

Almost surely, 2114830040 is an apocalyptic number.

114830040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114830040 is an abundant number, since it is smaller than the sum of its proper divisors (256164360).

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

114830040 is a wasteful number, since it uses less digits than its factorization.

114830040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73636 (or 73632 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 114830040 is about 10715.8779388345. The cubic root of 114830040 is about 486.0547280407.

Adding to 114830040 its reverse (40038411), we get a palindrome (154868451).

The spelling of 114830040 in words is "one hundred fourteen million, eight hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 73609 147218 220827 294436 368045 441654 588872 736090 883308 956917 1104135 1472180 1766616 1913834 2208270 2870751 2944360 3827668 4416540 4784585 5741502 7655336 8833080 9569170 11483004 14353755 19138340 22966008 28707510 38276680 57415020 114830040