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155133040 = 24512715269
BaseRepresentation
bin10010011111100…
…10010001110000
3101210220120112011
421033302101300
5304203224130
623221012304
73562415626
oct1117622160
9353816464
10155133040
117a628827
1243b54094
13261a83ca
1416863516
15d94552a
hex93f2470

155133040 has 40 divisors (see below), whose sum is σ = 363548160. Its totient is φ = 61560576.

The previous prime is 155132993. The next prime is 155133047. The reversal of 155133040 is 40331551.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155133047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2526 + ... + 17794.

It is an arithmetic number, because the mean of its divisors is an integer number (9088704).

Almost surely, 2155133040 is an apocalyptic number.

155133040 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 155133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181774080).

155133040 is an abundant number, since it is smaller than the sum of its proper divisors (208415120).

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

155133040 is a wasteful number, since it uses less digits than its factorization.

155133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15409 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 155133040 is about 12455.2414669488. The cubic root of 155133040 is about 537.3221795054.

Adding to 155133040 its reverse (40331551), we get a palindrome (195464591).

The spelling of 155133040 in words is "one hundred fifty-five million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 15269 30538 61076 76345 122152 152690 244304 305380 610760 1221520 1939163 3878326 7756652 9695815 15513304 19391630 31026608 38783260 77566520 155133040