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155140040 = 235111013491
BaseRepresentation
bin10010011111100…
…11111111001000
3101210220221010102
421033303333020
5304203440130
623221104532
73562445216
oct1117637710
9353827112
10155140040
117a633010
1243b58148
13261ab653
1416865cb6
15d947645
hex93f3fc8

155140040 has 64 divisors (see below), whose sum is σ = 384678720. Its totient is φ = 55840000.

The previous prime is 155139989. The next prime is 155140043. The reversal of 155140040 is 40041551.

155140040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1551400402 = 48136864022403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 155139994 and 155140021.

It is not an unprimeable number, because it can be changed into a prime (155140043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42695 + ... + 46185.

It is an arithmetic number, because the mean of its divisors is an integer number (6010605).

Almost surely, 2155140040 is an apocalyptic number.

155140040 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 155140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192339360).

155140040 is an abundant number, since it is smaller than the sum of its proper divisors (229538680).

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

155140040 is a wasteful number, since it uses less digits than its factorization.

155140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 155140040 is about 12455.5224699729. The cubic root of 155140040 is about 537.3302611680.

Adding to 155140040 its reverse (40041551), we get a palindrome (195181591).

The spelling of 155140040 in words is "one hundred fifty-five million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 3491 4040 4444 5555 6982 8888 11110 13964 17455 22220 27928 34910 38401 44440 69820 76802 139640 153604 192005 307208 352591 384010 705182 768020 1410364 1536040 1762955 2820728 3525910 3878501 7051820 7757002 14103640 15514004 19392505 31028008 38785010 77570020 155140040