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155155840 = 275759587
BaseRepresentation
bin10010011111101…
…11110110000000
3101210221201210121
421033313312000
5304204441330
623221310024
73562542250
oct1117676600
9353851717
10155155840
117a643974
1243b65314
13261b58b8
141686b960
15d94c17a
hex93f7d80

155155840 has 128 divisors (see below), whose sum is σ = 431827200. Its totient is φ = 52205568.

The previous prime is 155155823. The next prime is 155155873. The reversal of 155155840 is 48551551.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1551558402 = 48146669372211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 155155796 and 155155805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264027 + ... + 264613.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2155155840 is an apocalyptic number.

155155840 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 155155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215913600).

155155840 is an abundant number, since it is smaller than the sum of its proper divisors (276671360).

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

155155840 is an equidigital number, since it uses as much as digits as its factorization.

155155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 34.

The square root of 155155840 is about 12456.1567106391. The cubic root of 155155840 is about 537.3485017416.

The spelling of 155155840 in words is "one hundred fifty-five million, one hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 128 140 160 224 236 280 295 320 413 448 472 560 587 590 640 826 896 944 1120 1174 1180 1652 1888 2065 2240 2348 2360 2935 3304 3776 4109 4130 4480 4696 4720 5870 6608 7552 8218 8260 9392 9440 11740 13216 16436 16520 18784 18880 20545 23480 26432 32872 33040 34633 37568 37760 41090 46960 52864 65744 66080 69266 75136 82180 93920 131488 132160 138532 164360 173165 187840 242431 262976 264320 277064 328720 346330 375680 484862 525952 554128 657440 692660 969724 1108256 1212155 1314880 1385320 1939448 2216512 2424310 2629760 2770640 3878896 4433024 4848620 5541280 7757792 9697240 11082560 15515584 19394480 22165120 31031168 38788960 77577920 155155840