Search a number
-
+
1350837936 = 243273833499
BaseRepresentation
bin101000010000100…
…0010011010110000
310111010211200021200
41100201002122300
510231303303221
6342013051200
745321635010
oct12041023260
93433750250
101350837936
11633570598
12318486b00
13186b278b6
14cb595c40
157d8d3426
hex508426b0

1350837936 has 120 divisors (see below), whose sum is σ = 4333056000. Its totient is φ = 384835968.

The previous prime is 1350837931. The next prime is 1350837937. The reversal of 1350837936 is 6397380531.

It is a junction number, because it is equal to n+sod(n) for n = 1350837891 and 1350837900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350837931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384315 + ... + 387813.

It is an arithmetic number, because the mean of its divisors is an integer number (36108800).

Almost surely, 21350837936 is an apocalyptic number.

1350837936 is a gapful number since it is divisible by the number (16) 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 1350837936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166528000).

1350837936 is an abundant number, since it is smaller than the sum of its proper divisors (2982218064).

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

1350837936 is a wasteful number, since it uses less digits than its factorization.

1350837936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1350837936 is about 36753.7472375267. The cubic root of 1350837936 is about 1105.4380676772.

The spelling of 1350837936 in words is "one billion, three hundred fifty million, eight hundred thirty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 383 504 766 1008 1149 1532 2298 2681 3064 3447 3499 4596 5362 6128 6894 6998 8043 9192 10497 10724 13788 13996 16086 18384 20994 21448 24129 24493 27576 27992 31491 32172 41988 42896 48258 48986 55152 55984 62982 64344 73479 83976 96516 97972 125964 128688 146958 167952 193032 195944 220437 251928 293916 386064 391888 440874 503856 587832 881748 1175664 1340117 1763496 2680234 3526992 4020351 5360468 8040702 9380819 10720936 12061053 16081404 18761638 21441872 24122106 28142457 32162808 37523276 48244212 56284914 64325616 75046552 84427371 96488424 112569828 150093104 168854742 192976848 225139656 337709484 450279312 675418968 1350837936