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153443430 = 23357194273
BaseRepresentation
bin10010010010101…
…01110001100110
3101200201201211000
421021111301212
5303240142210
623120454130
73542150640
oct1111256146
9350651730
10153443430
1179684358
124347a346
1325a3633a
1416543890
15d70eac0
hex9255c66

153443430 has 128 divisors (see below), whose sum is σ = 492364800. Its totient is φ = 33219072.

The previous prime is 153443413. The next prime is 153443431. The reversal of 153443430 is 34344351.

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 = 153443394 and 153443403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153443431) 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 63 ways as a sum of consecutive naturals, for example, 33774 + ... + 38046.

It is an arithmetic number, because the mean of its divisors is an integer number (3846600).

Almost surely, 2153443430 is an apocalyptic number.

153443430 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 153443430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246182400).

153443430 is an abundant number, since it is smaller than the sum of its proper divisors (338921370).

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

153443430 is a wasteful number, since it uses less digits than its factorization.

153443430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 153443430 is about 12387.2285035838. The cubic root of 153443430 is about 535.3643309851.

Adding to 153443430 its reverse (34344351), we get a palindrome (187787781).

The spelling of 153443430 in words is "one hundred fifty-three million, four hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3591 3990 4273 5130 5985 7182 8546 11970 12819 17955 21365 25638 29911 35910 38457 42730 59822 64095 76914 81187 89733 115371 128190 149555 162374 179466 192285 230742 243561 269199 299110 384570 405935 448665 487122 538398 568309 576855 730683 807597 811870 897330 1136618 1153710 1217805 1345995 1461366 1615194 1704927 2192049 2435610 2691990 2841545 3409854 3653415 4037985 4384098 5114781 5683090 7306830 8075970 8524635 10229562 10960245 15344343 17049270 21920490 25573905 30688686 51147810 76721715 153443430