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1029149064 = 23341588193
BaseRepresentation
bin111101010101111…
…001000110001000
32122201112012010000
4331111321012020
54101430232224
6250042123000
734334423406
oct7525710610
92581465100
101029149064
11488a22a19
122487b0460
131352a4a58
149a978476
156053d0c9
hex3d579188

1029149064 has 40 divisors (see below), whose sum is σ = 2882572110. Its totient is φ = 343049472.

The previous prime is 1029149063. The next prime is 1029149087. The reversal of 1029149064 is 4609419201.

It is a happy number.

1029149064 is a `hidden beast` number, since 102 + 9 + 1 + 490 + 64 = 666.

1029149064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 941876100 + 87272964 = 30690^2 + 9342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029149063) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 793449 + ... + 794744.

Almost surely, 21029149064 is an apocalyptic number.

It is an amenable number.

1029149064 is an abundant number, since it is smaller than the sum of its proper divisors (1853423046).

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

1029149064 is a wasteful number, since it uses less digits than its factorization.

1029149064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588211 (or 1588198 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1029149064 is about 32080.3532399505. The cubic root of 1029149064 is about 1009.6234468591.

The spelling of 1029149064 in words is "one billion, twenty-nine million, one hundred forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1588193 3176386 4764579 6352772 9529158 12705544 14293737 19058316 28587474 38116632 42881211 57174948 85762422 114349896 128643633 171524844 257287266 343049688 514574532 1029149064