Search a number
-
+
1375121424 = 243234383349
BaseRepresentation
bin101000111110110…
…1011000000010000
310112211112101222010
41101331223000100
510304012341144
6344241342520
746035224235
oct12175530020
93484471863
101375121424
11646247096
12324637a40
1318bb7a921
14d08b778c
1580acd5b9
hex51f6b010

1375121424 has 160 divisors (see below), whose sum is σ = 3849753600. Its totient is φ = 421876224.

The previous prime is 1375121399. The next prime is 1375121443. The reversal of 1375121424 is 4241215731.

It is a junction number, because it is equal to n+sod(n) for n = 1375121391 and 1375121400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3940002 + ... + 3940350.

It is an arithmetic number, because the mean of its divisors is an integer number (24060960).

Almost surely, 21375121424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924876800).

1375121424 is an abundant number, since it is smaller than the sum of its proper divisors (2474632176).

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

1375121424 is a wasteful number, since it uses less digits than its factorization.

1375121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 1375121424 is about 37082.6296802155. The cubic root of 1375121424 is about 1112.0227769949.

The spelling of 1375121424 in words is "one billion, three hundred seventy-five million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 69 83 86 92 129 138 166 172 184 249 258 276 332 344 349 368 498 516 552 664 688 698 989 996 1032 1047 1104 1328 1396 1909 1978 1992 2064 2094 2792 2967 3569 3818 3956 3984 4188 5584 5727 5934 7138 7636 7912 8027 8376 10707 11454 11868 14276 15007 15272 15824 16054 16752 21414 22908 23736 24081 28552 28967 30014 30544 32108 42828 45021 45816 47472 48162 57104 57934 60028 64216 82087 85656 86901 90042 91632 96324 115868 120056 128432 164174 171312 173802 180084 192648 231736 240112 246261 328348 345161 347604 360168 385296 463472 492522 656696 666241 690322 695208 720336 985044 1035483 1245581 1313392 1332482 1380644 1390416 1970088 1998723 2070966 2491162 2664964 2761288 3736743 3940176 3997446 4141932 4982324 5329928 5522576 7473486 7994892 8283864 9964648 10659856 14946972 15989784 16567728 19929296 28648363 29893944 31979568 57296726 59787888 85945089 114593452 171890178 229186904 343780356 458373808 687560712 1375121424