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153402320 = 2454146769
BaseRepresentation
bin10010010010010…
…11101111010000
3101200122122102102
421021023233100
5303232333240
623115535532
73541620041
oct1111135720
9350578372
10153402320
1179656485
124345a5a8
1325a20706
14165328c8
15d702815
hex924bbd0

153402320 has 40 divisors (see below), whose sum is σ = 365367240. Its totient is φ = 59863040.

The previous prime is 153402311. The next prime is 153402331. The reversal of 153402320 is 23204351.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1915456 + 151486864 = 1384^2 + 12308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 153402292 and 153402301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20105 + ... + 26664.

It is an arithmetic number, because the mean of its divisors is an integer number (9134181).

Almost surely, 2153402320 is an apocalyptic number.

153402320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153402320 is an abundant number, since it is smaller than the sum of its proper divisors (211964920).

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

153402320 is a wasteful number, since it uses less digits than its factorization.

153402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46823 (or 46817 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 153402320 is about 12385.5690220514. The cubic root of 153402320 is about 535.3165157665.

Adding to 153402320 its reverse (23204351), we get a palindrome (176606671).

The spelling of 153402320 in words is "one hundred fifty-three million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 46769 93538 187076 233845 374152 467690 748304 935380 1870760 1917529 3741520 3835058 7670116 9587645 15340232 19175290 30680464 38350580 76701160 153402320