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155287440 = 243257112801
BaseRepresentation
bin10010100000101…
…11111110010000
3101211012102022200
421100113332100
5304223144230
623224203200
73563631030
oct1120277620
9354172280
10155287440
117a723830
1244009500
1326230779
14168a38c0
15d976160
hex9417f90

155287440 has 240 divisors, whose sum is σ = 650422656. Its totient is φ = 32256000.

The previous prime is 155287427. The next prime is 155287453. The reversal of 155287440 is 44782551.

155287440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (155287427) and next prime (155287453).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1552874402 = 48228378043507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155287395 and 155287404.

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 47 ways as a sum of consecutive naturals, for example, 54040 + ... + 56840.

Almost surely, 2155287440 is an apocalyptic number.

155287440 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 155287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325211328).

155287440 is an abundant number, since it is smaller than the sum of its proper divisors (495135216).

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

155287440 is a wasteful number, since it uses less digits than its factorization.

155287440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 155287440 is about 12461.4381192541. The cubic root of 155287440 is about 537.5003814672.

The spelling of 155287440 in words is "one hundred fifty-five million, two hundred eighty-seven thousand, four hundred forty".