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153002300 = 225211367379
BaseRepresentation
bin10010001111010…
…10000100111100
3101122220022200212
421013222010330
5303132033200
623103211552
73535332563
oct1107520474
9348808625
10153002300
1179402990
12432a6bb8
1325910609
141646abda
15d674035
hex91ea13c

153002300 has 72 divisors (see below), whose sum is σ = 364143360. Its totient is φ = 55339200.

The previous prime is 153002293. The next prime is 153002323. The reversal of 153002300 is 3200351.

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 23 ways as a sum of consecutive naturals, for example, 403511 + ... + 403889.

Almost surely, 2153002300 is an apocalyptic number.

153002300 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 153002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182071680).

153002300 is an abundant number, since it is smaller than the sum of its proper divisors (211141060).

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

153002300 is a wasteful number, since it uses less digits than its factorization.

153002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 153002300 is about 12369.4098484932. The cubic root of 153002300 is about 534.8508041774.

Adding to 153002300 its reverse (3200351), we get a palindrome (156202651).

The spelling of 153002300 in words is "one hundred fifty-three million, two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 367 379 550 734 758 1100 1468 1516 1835 1895 3670 3790 4037 4169 7340 7580 8074 8338 9175 9475 16148 16676 18350 18950 20185 20845 36700 37900 40370 41690 80740 83380 100925 104225 139093 201850 208450 278186 403700 416900 556372 695465 1390930 1530023 2781860 3060046 3477325 6120092 6954650 7650115 13909300 15300230 30600460 38250575 76501150 153002300