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153035220 = 223513316329
BaseRepresentation
bin10010001111100…
…10000111010100
3101122221222212010
421013302013110
5303134111340
623104024220
73535530552
oct1107620724
9348858763
10153035220
1179425698
1243302070
13259225b0
1416478bd2
15d67db80
hex91f21d4

153035220 has 96 divisors (see below), whose sum is σ = 476421120. Its totient is φ = 36449280.

The previous prime is 153035191. The next prime is 153035249. The reversal of 153035220 is 22530351.

It is an interprime number because it is at equal distance from previous prime (153035191) and next prime (153035249).

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 31 ways as a sum of consecutive naturals, for example, 21016 + ... + 27344.

It is an arithmetic number, because the mean of its divisors is an integer number (4962720).

Almost surely, 2153035220 is an apocalyptic number.

153035220 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 153035220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238210560).

153035220 is an abundant number, since it is smaller than the sum of its proper divisors (323385900).

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

153035220 is a wasteful number, since it uses less digits than its factorization.

153035220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 153035220 is about 12370.7404790497. The cubic root of 153035220 is about 534.8891609555.

Adding to 153035220 its reverse (22530351), we get a palindrome (175565571).

The spelling of 153035220 in words is "one hundred fifty-three million, thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 6329 8060 12090 12658 18987 24180 25316 31645 37974 63290 75948 82277 94935 126580 164554 189870 196199 246831 329108 379740 392398 411385 493662 588597 784796 822770 980995 987324 1177194 1234155 1645540 1961990 2354388 2468310 2550587 2942985 3923980 4936620 5101174 5885970 7651761 10202348 11771940 12752935 15303522 25505870 30607044 38258805 51011740 76517610 153035220