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155105280 = 2113451117
BaseRepresentation
bin10010011111010…
…11100000000000
3101210212011110000
421033223200000
5304201332110
623220240000
73562241661
oct1117534000
9353764400
10155105280
117a609990
1243b40000
1326198895
1416857368
15d93c1c0
hex93eb800

155105280 has 480 divisors, whose sum is σ = 642161520. Its totient is φ = 35389440.

The previous prime is 155105243. The next prime is 155105287. The reversal of 155105280 is 82501551.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155105287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9123832 + ... + 9123848.

Almost surely, 2155105280 is an apocalyptic number.

155105280 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 155105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321080760).

155105280 is an abundant number, since it is smaller than the sum of its proper divisors (487056240).

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

155105280 is a wasteful number, since it uses less digits than its factorization.

155105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 155105280 is about 12454.1270268132. The cubic root of 155105280 is about 537.2901275464.

The spelling of 155105280 in words is "one hundred fifty-five million, one hundred five thousand, two hundred eighty".