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153429430 = 25711296871
BaseRepresentation
bin10010010010100…
…10010110110110
3101200201000121111
421021102112312
5303234220210
623120305234
73542062060
oct1111222666
9350630544
10153429430
1179674890
124347221a
1325a2cb5b
141653c730
15d70a88a
hex92525b6

153429430 has 64 divisors (see below), whose sum is σ = 356244480. Its totient is φ = 46166400.

The previous prime is 153429407. The next prime is 153429431. The reversal of 153429430 is 34924351.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 153429392 and 153429401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153429431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18895 + ... + 25765.

It is an arithmetic number, because the mean of its divisors is an integer number (5566320).

Almost surely, 2153429430 is an apocalyptic number.

153429430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153429430 is an abundant number, since it is smaller than the sum of its proper divisors (202815050).

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

153429430 is a wasteful number, since it uses less digits than its factorization.

153429430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925.

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 153429430 is about 12386.6633925363. The cubic root of 153429430 is about 535.3480484837.

The spelling of 153429430 in words is "one hundred fifty-three million, four hundred twenty-nine thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 29 35 55 58 70 77 110 145 154 203 290 319 385 406 638 770 1015 1595 2030 2233 3190 4466 6871 11165 13742 22330 34355 48097 68710 75581 96194 151162 199259 240485 377905 398518 480970 529067 755810 996295 1058134 1394813 1992590 2191849 2645335 2789626 4383698 5290670 6974065 10959245 13948130 15342943 21918490 30685886 76714715 153429430