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1357106700 = 2235210144789
BaseRepresentation
bin101000011100011…
…1100111000001100
310111120122011102010
41100320330320030
510234404403300
6342355301220
745426134205
oct12070747014
93446564363
101357106700
11637062394
1231a5aa810
13188211021
14cc3485ac
157e220a50
hex50e3ce0c

1357106700 has 72 divisors (see below), whose sum is σ = 3965527440. Its totient is φ = 358304000.

The previous prime is 1357106677. The next prime is 1357106741. The reversal of 1357106700 is 76017531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7906 + ... + 52694.

It is an arithmetic number, because the mean of its divisors is an integer number (55076770).

Almost surely, 21357106700 is an apocalyptic number.

1357106700 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 1357106700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982763720).

1357106700 is an abundant number, since it is smaller than the sum of its proper divisors (2608420740).

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

1357106700 is a wasteful number, since it uses less digits than its factorization.

1357106700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44907 (or 44900 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 1357106700 is about 36838.9291375306. The cubic root of 1357106700 is about 1107.1454124910.

The spelling of 1357106700 in words is "one billion, three hundred fifty-seven million, one hundred six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 44789 89578 134367 179156 223945 268734 447890 537468 671835 895780 1119725 1343670 2239450 2687340 3359175 4478900 4523689 6718350 9047378 13436700 13571067 18094756 22618445 27142134 45236890 54284268 67855335 90473780 113092225 135710670 226184450 271421340 339276675 452368900 678553350 1357106700