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155040 = 25351719
BaseRepresentation
bin100101110110100000
321212200020
4211312200
514430130
63153440
71214004
oct456640
9255606
10155040
11a6536
1275880
1355752
1440704
1530e10
hex25da0

155040 has 96 divisors (see below), whose sum is σ = 544320. Its totient is φ = 36864.

The previous prime is 155027. The next prime is 155047. The reversal of 155040 is 40551.

155040 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155047) by changing a digit.

155040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8151 + ... + 8169.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2155040 is an apocalyptic number.

155040 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 155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

155040 is an abundant number, since it is smaller than the sum of its proper divisors (389280).

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

155040 is a wasteful number, since it uses less digits than its factorization.

155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 155040 is about 393.7511904744. The cubic root of 155040 is about 53.7214739566.

Adding to 155040 its reverse (40551), we get a palindrome (195591).

The spelling of 155040 in words is "one hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 32 34 38 40 48 51 57 60 68 76 80 85 95 96 102 114 120 136 152 160 170 190 204 228 240 255 272 285 304 323 340 380 408 456 480 510 544 570 608 646 680 760 816 912 969 1020 1140 1292 1360 1520 1615 1632 1824 1938 2040 2280 2584 2720 3040 3230 3876 4080 4560 4845 5168 6460 7752 8160 9120 9690 10336 12920 15504 19380 25840 31008 38760 51680 77520 155040