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1029116140 = 2251323172093
BaseRepresentation
bin111101010101110…
…001000011101100
32122201110111221121
4331111301003230
54101423204030
6250041310324
734334225413
oct7525610354
92581414847
101029116140
11488a00208
122487953a4
13135292a80
149a96a47a
156053347a
hex3d5710ec

1029116140 has 48 divisors (see below), whose sum is σ = 2428590528. Its totient is φ = 363458304.

The previous prime is 1029116129. The next prime is 1029116141. The reversal of 1029116140 is 416119201.

It is not an unprimeable number, because it can be changed into a prime (1029116141) 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, 80067 + ... + 92026.

It is an arithmetic number, because the mean of its divisors is an integer number (50595636).

Almost surely, 21029116140 is an apocalyptic number.

1029116140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029116140 is an abundant number, since it is smaller than the sum of its proper divisors (1399474388).

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

1029116140 is a wasteful number, since it uses less digits than its factorization.

1029116140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172138 (or 172136 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1029116140 is about 32079.8400868832. The cubic root of 1029116140 is about 1009.6126802954.

The spelling of 1029116140 in words is "one billion, twenty-nine million, one hundred sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 172093 344186 688372 860465 1720930 2237209 3441860 3958139 4474418 7916278 8948836 11186045 15832556 19790695 22372090 39581390 44744180 51455807 79162780 102911614 205823228 257279035 514558070 1029116140