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155755040 = 2557139067
BaseRepresentation
bin10010100100010…
…10001000100000
3101212002011202012
421102022020200
5304333130130
623242212052
73600616220
oct1122121040
9355064665
10155755040
117aa13081
12441b4028
132636555c
1416986080
15da19995
hex948a220

155755040 has 48 divisors (see below), whose sum is σ = 420541632. Its totient is φ = 53401344.

The previous prime is 155755031. The next prime is 155755081. The reversal of 155755040 is 40557551.

155755040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 155754988 and 155755006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68414 + ... + 70653.

It is an arithmetic number, because the mean of its divisors is an integer number (8761284).

Almost surely, 2155755040 is an apocalyptic number.

155755040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155755040 is an abundant number, since it is smaller than the sum of its proper divisors (264786592).

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

155755040 is a wasteful number, since it uses less digits than its factorization.

155755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139089 (or 139081 counting only the distinct ones).

The product of its (nonzero) digits is 17500, while the sum is 32.

The square root of 155755040 is about 12480.1858960514. The cubic root of 155755040 is about 538.0393461271.

The spelling of 155755040 in words is "one hundred fifty-five million, seven hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 139067 278134 556268 695335 973469 1112536 1390670 1946938 2225072 2781340 3893876 4450144 4867345 5562680 7787752 9734690 11125360 15575504 19469380 22250720 31151008 38938760 77877520 155755040