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1029161430 = 2335111732003
BaseRepresentation
bin111101010101111…
…100000111010110
32122201112211002000
4331111330013112
54101431131210
6250042300130
734334504433
oct7525740726
92581484060
101029161430
11488a31240
122487b7646
131352aa57b
149a97cb8a
1560541ac0
hex3d57c1d6

1029161430 has 128 divisors (see below), whose sum is σ = 3012733440. Its totient is φ = 247927680.

The previous prime is 1029161423. The next prime is 1029161437. The reversal of 1029161430 is 341619201.

1029161430 is a `hidden beast` number, since 10 + 2 + 9 + 1 + 614 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (1029161423) and next prime (1029161437).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1029161394 and 1029161403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029161437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512809 + ... + 514811.

It is an arithmetic number, because the mean of its divisors is an integer number (23536980).

Almost surely, 21029161430 is an apocalyptic number.

1029161430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029161430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506366720).

1029161430 is an abundant number, since it is smaller than the sum of its proper divisors (1983572010).

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

1029161430 is a wasteful number, since it uses less digits than its factorization.

1029161430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1029161430 is about 32080.5459741570. The cubic root of 1029161430 is about 1009.6274906379.

The spelling of 1029161430 in words is "one billion, twenty-nine million, one hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 173 198 270 297 330 346 495 519 594 865 990 1038 1485 1557 1730 1903 2003 2595 2970 3114 3806 4006 4671 5190 5709 6009 7785 9342 9515 10015 11418 12018 15570 17127 18027 19030 20030 22033 23355 28545 30045 34254 36054 44066 46710 51381 54081 57090 60090 66099 85635 90135 102762 108162 110165 132198 171270 180270 198297 220330 256905 270405 330495 346519 396594 513810 540810 594891 660990 693038 991485 1039557 1189782 1732595 1982970 2079114 2974455 3118671 3465190 3811709 5197785 5948910 6237342 7623418 9356013 10395570 11435127 15593355 18712026 19058545 22870254 31186710 34305381 38117090 46780065 57175635 68610762 93560130 102916143 114351270 171526905 205832286 343053810 514580715 1029161430