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114791540 = 225192931031
BaseRepresentation
bin1101101011110…
…01010001110100
322000000000101112
412311321101310
5213341312130
615220214152
72562466133
oct665712164
9260000345
10114791540
1159884646
123253a358
131aa222b6
141136191a
15a127495
hex6d79474

114791540 has 48 divisors (see below), whose sum is σ = 254862720. Its totient is φ = 43309440.

The previous prime is 114791539. The next prime is 114791557. The reversal of 114791540 is 45197411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114791497 and 114791506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110825 + ... + 111855.

It is an arithmetic number, because the mean of its divisors is an integer number (5309640).

Almost surely, 2114791540 is an apocalyptic number.

114791540 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 114791540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127431360).

114791540 is an abundant number, since it is smaller than the sum of its proper divisors (140071180).

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

114791540 is a wasteful number, since it uses less digits than its factorization.

114791540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 114791540 is about 10714.0813885279. The cubic root of 114791540 is about 486.0004007967. Note that the first 3 decimals are identical.

The spelling of 114791540 in words is "one hundred fourteen million, seven hundred ninety-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 293 380 586 1031 1172 1465 2062 2930 4124 5155 5567 5860 10310 11134 19589 20620 22268 27835 39178 55670 78356 97945 111340 195890 302083 391780 604166 1208332 1510415 3020830 5739577 6041660 11479154 22958308 28697885 57395770 114791540