Search a number
-
+
1164629140 = 225157421881
BaseRepresentation
bin100010101101010…
…1101010010010100
310000011110021211121
41011122231102110
54341121113030
6311322013324
740601120143
oct10532552224
93004407747
101164629140
11548448124
12286047244
1315738b98c
14b096375a
156c3a047a
hex456ad494

1164629140 has 48 divisors (see below), whose sum is σ = 2469945744. Its totient is φ = 461260800.

The previous prime is 1164629107. The next prime is 1164629159. The reversal of 1164629140 is 419264611.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 497646864 + 666982276 = 22308^2 + 25826^2 .

It is a super-2 number, since 2×11646291402 = 2712722067474279200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1164629096 and 1164629105.

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, 1321500 + ... + 1322380.

It is an arithmetic number, because the mean of its divisors is an integer number (51457203).

Almost surely, 21164629140 is an apocalyptic number.

1164629140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1164629140 is an abundant number, since it is smaller than the sum of its proper divisors (1305316604).

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

1164629140 is a wasteful number, since it uses less digits than its factorization.

1164629140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1164629140 is about 34126.6631829132. The cubic root of 1164629140 is about 1052.1133972034.

The spelling of 1164629140 in words is "one billion, one hundred sixty-four million, six hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 157 314 421 628 785 842 881 1570 1684 1762 2105 3140 3524 4210 4405 8420 8810 17620 66097 132194 138317 264388 276634 330485 370901 553268 660970 691585 741802 1321940 1383170 1483604 1854505 2766340 3709010 7418020 58231457 116462914 232925828 291157285 582314570 1164629140