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153433140 = 223571013617
BaseRepresentation
bin10010010010100…
…11010000110100
3101200201012200220
421021103100310
5303234330030
623120334340
73542105640
oct1111232064
9350635626
10153433140
1179677653
12434743b0
1325a31753
141653dc20
15d70ba10
hex9253434

153433140 has 96 divisors (see below), whose sum is σ = 495984384. Its totient is φ = 34713600.

The previous prime is 153433129. The next prime is 153433141. The reversal of 153433140 is 41334351.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 153433140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153433141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40612 + ... + 44228.

It is an arithmetic number, because the mean of its divisors is an integer number (5166504).

Almost surely, 2153433140 is an apocalyptic number.

153433140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247992192).

153433140 is an abundant number, since it is smaller than the sum of its proper divisors (342551244).

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

153433140 is a wasteful number, since it uses less digits than its factorization.

153433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 153433140 is about 12386.8131494747. The cubic root of 153433140 is about 535.3523634430.

Adding to 153433140 its reverse (41334351), we get a palindrome (194767491).

The spelling of 153433140 in words is "one hundred fifty-three million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 1010 1212 1414 1515 2020 2121 2828 3030 3535 3617 4242 6060 7070 7234 8484 10605 10851 14140 14468 18085 21210 21702 25319 36170 42420 43404 50638 54255 72340 75957 101276 108510 126595 151914 217020 253190 303828 365317 379785 506380 730634 759570 1095951 1461268 1519140 1826585 2191902 2557219 3653170 4383804 5114438 5479755 7306340 7671657 10228876 10959510 12786095 15343314 21919020 25572190 30686628 38358285 51144380 76716570 153433140