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1255435020 = 2232577313649
BaseRepresentation
bin100101011010100…
…0110101100001100
310020111022201002100
41022311012230030
510032342410040
6324324155100
743053010260
oct11265065414
93214281070
101255435020
11594729a04
122b0538a90
13170133678
14bca400a0
157533ab30
hex4ad46b0c

1255435020 has 144 divisors (see below), whose sum is σ = 4412116800. Its totient is φ = 283004928.

The previous prime is 1255435007. The next prime is 1255435031. The reversal of 1255435020 is 205345521.

It is a happy number.

1255435020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12554350202 = 3152234178884800800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85156 + ... + 98804.

It is an arithmetic number, because the mean of its divisors is an integer number (30639700).

Almost surely, 21255435020 is an apocalyptic number.

1255435020 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 1255435020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206058400).

1255435020 is an abundant number, since it is smaller than the sum of its proper divisors (3156681780).

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

1255435020 is a wasteful number, since it uses less digits than its factorization.

1255435020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1255435020 is about 35432.1184802715. The cubic root of 1255435020 is about 1078.7763404326.

It can be divided in two parts, 12554 and 35020, that added together give a palindrome (47574).

The spelling of 1255435020 in words is "one billion, two hundred fifty-five million, four hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 73 84 90 105 126 140 146 180 210 219 252 292 315 365 420 438 511 630 657 730 876 1022 1095 1260 1314 1460 1533 2044 2190 2555 2628 3066 3285 4380 4599 5110 6132 6570 7665 9198 10220 13140 13649 15330 18396 22995 27298 30660 40947 45990 54596 68245 81894 91980 95543 122841 136490 163788 191086 204735 245682 272980 286629 382172 409470 477715 491364 573258 614205 818940 859887 955430 996377 1146516 1228410 1433145 1719774 1910860 1992754 2456820 2866290 2989131 3439548 3985508 4299435 4981885 5732580 5978262 6974639 8598870 8967393 9963770 11956524 13949278 14945655 17197740 17934786 19927540 20923917 27898556 29891310 34873195 35869572 41847834 44836965 59782620 62771751 69746390 83695668 89673930 104619585 125543502 139492780 179347860 209239170 251087004 313858755 418478340 627717510 1255435020