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153420450 = 23527314011
BaseRepresentation
bin10010010010100…
…00001010100010
3101200200120021220
421021100022202
5303233423300
623120155510
73542023641
oct1111201242
9350616256
10153420450
1179669067
1243468b96
1325a28a41
1416539358
15d707da0
hex92502a2

153420450 has 48 divisors (see below), whose sum is σ = 385722336. Its totient is φ = 40348800.

The previous prime is 153420331. The next prime is 153420451. The reversal of 153420450 is 54024351.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 153420450.

It is not an unprimeable number, because it can be changed into a prime (153420451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3945 + ... + 17955.

It is an arithmetic number, because the mean of its divisors is an integer number (8035882).

Almost surely, 2153420450 is an apocalyptic number.

153420450 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 153420450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192861168).

153420450 is an abundant number, since it is smaller than the sum of its proper divisors (232301886).

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

153420450 is a wasteful number, since it uses less digits than its factorization.

153420450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14099 (or 14094 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 153420450 is about 12386.3009005918. The cubic root of 153420450 is about 535.3376039007.

The spelling of 153420450 in words is "one hundred fifty-three million, four hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 146 150 219 365 438 730 1095 1825 2190 3650 5475 10950 14011 28022 42033 70055 84066 140110 210165 350275 420330 700550 1022803 1050825 2045606 2101650 3068409 5114015 6136818 10228030 15342045 25570075 30684090 51140150 76710225 153420450