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153133620 = 223517150131
BaseRepresentation
bin10010010000010…
…10001000110100
3101200010222211120
421020022020310
5303200233440
623110103540
73536420463
oct1110121064
9350128746
10153133620
1179492612
124334abb0
1325958313
14164a29da
15d69cdd0
hex920a234

153133620 has 48 divisors (see below), whose sum is σ = 453999168. Its totient is φ = 38433280.

The previous prime is 153133613. The next prime is 153133649. The reversal of 153133620 is 26331351.

153133620 = T379 + T380 + ... + T990.

It is a happy number.

153133620 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

153133620 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74046 + ... + 76085.

It is an arithmetic number, because the mean of its divisors is an integer number (9458316).

Almost surely, 2153133620 is an apocalyptic number.

153133620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153133620 is an abundant number, since it is smaller than the sum of its proper divisors (300865548).

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

153133620 is a wasteful number, since it uses less digits than its factorization.

153133620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150160 (or 150158 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 153133620 is about 12374.7169664603. The cubic root of 153133620 is about 535.0037790515.

Adding to 153133620 its reverse (26331351), we get a palindrome (179464971).

The spelling of 153133620 in words is "one hundred fifty-three million, one hundred thirty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 150131 300262 450393 600524 750655 900786 1501310 1801572 2251965 2552227 3002620 4503930 5104454 7656681 9007860 10208908 12761135 15313362 25522270 30626724 38283405 51044540 76566810 153133620