Search a number
-
+
1350887040 = 27325234529
BaseRepresentation
bin101000010000100…
…1110011010000000
310111010221011122100
41100201032122000
510231311341130
6342014110400
745322231116
oct12041163200
93433834570
101350887040
116335a4478
123184ab400
13186b44059
14cb5a9ab6
157d8e2c60
hex5084e680

1350887040 has 96 divisors (see below), whose sum is σ = 4664801700. Its totient is φ = 360235008.

The previous prime is 1350887003. The next prime is 1350887047. The reversal of 1350887040 is 407880531.

It can be written as a sum of positive squares in 2 ways, for example, as 1249763904 + 101123136 = 35352^2 + 10056^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1350886986 and 1350887004.

It is not an unprimeable number, because it can be changed into a prime (1350887047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111505 + ... + 123024.

Almost surely, 21350887040 is an apocalyptic number.

1350887040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350887040 is an abundant number, since it is smaller than the sum of its proper divisors (3313914660).

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

1350887040 is a wasteful number, since it uses less digits than its factorization.

1350887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234554 (or 234539 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1350887040 is about 36754.4152449743. The cubic root of 1350887040 is about 1105.4514620234.

The spelling of 1350887040 in words is "one billion, three hundred fifty million, eight hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 234529 469058 703587 938116 1172645 1407174 1876232 2110761 2345290 2814348 3517935 3752464 4221522 4690580 5628696 7035870 7504928 8443044 9381160 10553805 11257392 14071740 15009856 16886088 18762320 21107610 22514784 28143480 30019712 33772176 37524640 42215220 45029568 56286960 67544352 75049280 84430440 90059136 112573920 135088704 150098560 168860880 225147840 270177408 337721760 450295680 675443520 1350887040