Search a number
-
+
155020320 = 2532572133
BaseRepresentation
bin10010011110101…
…10110000100000
3101210200211220100
421033112300200
5304141122240
623214342400
73561436200
oct1117266040
9353624810
10155020320
117a561074
1243abaa00
1326169000
1416834400
15d921e30
hex93d6c20

155020320 has 432 divisors, whose sum is σ = 666633240. Its totient is φ = 32707584.

The previous prime is 155020301. The next prime is 155020339. The reversal of 155020320 is 23020551.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (155020301) and next prime (155020339).

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 152473104 = 1596^2 + 12348^2 .

It is a super-2 number, since 2×1550203202 = 48062599225804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 155020293 and 155020302.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11924634 + ... + 11924646.

Almost surely, 2155020320 is an apocalyptic number.

155020320 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 155020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333316620).

155020320 is an abundant number, since it is smaller than the sum of its proper divisors (511612920).

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

155020320 is a wasteful number, since it uses less digits than its factorization.

155020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 155020320 is about 12450.7156420826. The cubic root of 155020320 is about 537.1920081562.

Adding to 155020320 its reverse (23020551), we get a palindrome (178040871).

The spelling of 155020320 in words is "one hundred fifty-five million, twenty thousand, three hundred twenty".