Search a number
-
+
3135234540 = 2235311401419
BaseRepresentation
bin1011101011011111…
…1110000111101100
322002111111102020210
42322313332013230
522410110001130
61235034542420
7140460024324
oct27267760754
98074442223
103135234540
111369838129
12735b97a10
133ac713789
1421a56a284
151353a85b0
hexbadfe1ec

3135234540 has 96 divisors (see below), whose sum is σ = 8849917440. Its totient is φ = 829312000.

The previous prime is 3135234511. The next prime is 3135234547. The reversal of 3135234540 is 454325313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3135234498 and 3135234507.

It is not an unprimeable number, because it can be changed into a prime (3135234547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7482451 + ... + 7482869.

It is an arithmetic number, because the mean of its divisors is an integer number (92186640).

Almost surely, 23135234540 is an apocalyptic number.

3135234540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3135234540 is an abundant number, since it is smaller than the sum of its proper divisors (5714682900).

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

3135234540 is a wasteful number, since it uses less digits than its factorization.

3135234540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3135234540 is about 55993.1651186107. The cubic root of 3135234540 is about 1463.6031819649.

Adding to 3135234540 its reverse (454325313), we get a palindrome (3589559853).

The spelling of 3135234540 in words is "three billion, one hundred thirty-five million, two hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 311 401 419 622 802 838 933 1203 1244 1257 1555 1604 1676 1866 2005 2095 2406 2514 3110 3732 4010 4190 4665 4812 5028 6015 6220 6285 8020 8380 9330 12030 12570 18660 24060 25140 124711 130309 168019 249422 260618 336038 374133 390927 498844 504057 521236 623555 651545 672076 748266 781854 840095 1008114 1247110 1303090 1496532 1563708 1680190 1870665 1954635 2016228 2494220 2520285 2606180 3360380 3741330 3909270 5040570 7482660 7818540 10081140 52253909 104507818 156761727 209015636 261269545 313523454 522539090 627046908 783808635 1045078180 1567617270 3135234540