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155780640 = 25325251431
BaseRepresentation
bin10010100100100…
…00011000100000
3101212010110212100
421102100120200
5304334440030
623242530400
73601053651
oct1122203040
9355113770
10155780640
117aa30334
1244206a00
13263740c2
1416991528
15da22360
hex9490620

155780640 has 144 divisors (see below), whose sum is σ = 534957696. Its totient is φ = 41280000.

The previous prime is 155780629. The next prime is 155780671. The reversal of 155780640 is 46087551.

155780640 is a `hidden beast` number, since 1 + 5 + 5 + 7 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155780595 and 155780604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361225 + ... + 361655.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2155780640 is an apocalyptic number.

155780640 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 155780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267478848).

155780640 is an abundant number, since it is smaller than the sum of its proper divisors (379177056).

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

155780640 is a wasteful number, since it uses less digits than its factorization.

155780640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 155780640 is about 12481.2114796601. The cubic root of 155780640 is about 538.0688220116.

The spelling of 155780640 in words is "one hundred fifty-five million, seven hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 251 288 360 431 480 502 720 753 862 1004 1255 1293 1440 1506 1724 2008 2155 2259 2510 2586 3012 3448 3765 3879 4016 4310 4518 5020 5172 6024 6465 6896 7530 7758 8032 8620 9036 10040 10344 11295 12048 12930 13792 15060 15516 17240 18072 19395 20080 20688 22590 24096 25860 30120 31032 34480 36144 38790 40160 41376 45180 51720 60240 62064 68960 72288 77580 90360 103440 108181 120480 124128 155160 180720 206880 216362 310320 324543 361440 432724 540905 620640 649086 865448 973629 1081810 1298172 1622715 1730896 1947258 2163620 2596344 3245430 3461792 3894516 4327240 4868145 5192688 6490860 7789032 8654480 9736290 10385376 12981720 15578064 17308960 19472580 25963440 31156128 38945160 51926880 77890320 155780640