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153021020 = 225411811031
BaseRepresentation
bin10010001111011…
…10101001011100
3101122221021101012
421013232221130
5303133133040
623103434352
73535441265
oct1107565134
9348837335
10153021020
1179415a59
12432b59b8
1325918ca9
141647396c
15d679865
hex91eea5c

153021020 has 48 divisors (see below), whose sum is σ = 331321536. Its totient is φ = 59328000.

The previous prime is 153021013. The next prime is 153021083. The reversal of 153021020 is 20120351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153020986 and 153021004.

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, 147905 + ... + 148935.

It is an arithmetic number, because the mean of its divisors is an integer number (6902532).

Almost surely, 2153021020 is an apocalyptic number.

153021020 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 153021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165660768).

153021020 is an abundant number, since it is smaller than the sum of its proper divisors (178300516).

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

153021020 is a wasteful number, since it uses less digits than its factorization.

153021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 153021020 is about 12370.1665308111. The cubic root of 153021020 is about 534.8726164829.

Adding to 153021020 its reverse (20120351), we get a palindrome (173141371).

The spelling of 153021020 in words is "one hundred fifty-three million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 181 205 362 410 724 820 905 1031 1810 2062 3620 4124 5155 7421 10310 14842 20620 29684 37105 42271 74210 84542 148420 169084 186611 211355 373222 422710 746444 845420 933055 1866110 3732220 7651051 15302102 30604204 38255255 76510510 153021020