Search a number
-
+
1335450120 = 233533733023
BaseRepresentation
bin100111110011001…
…0101101000001000
310110001212220011120
41033212111220020
510213333400440
6340303155240
745044065404
oct11746255010
93401786146
101335450120
11625910494
123132a5b20
1318389a894
14c950c104
157c393dd0
hex4f995a08

1335450120 has 64 divisors (see below), whose sum is σ = 4018360320. Its totient is φ = 355052544.

The previous prime is 1335450059. The next prime is 1335450143. The reversal of 1335450120 is 210545331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23929 + ... + 56951.

It is an arithmetic number, because the mean of its divisors is an integer number (62786880).

Almost surely, 21335450120 is an apocalyptic number.

1335450120 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 1335450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009180160).

1335450120 is an abundant number, since it is smaller than the sum of its proper divisors (2682910200).

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

1335450120 is a wasteful number, since it uses less digits than its factorization.

1335450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33374 (or 33370 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1335450120 is about 36543.8109671118. The cubic root of 1335450120 is about 1101.2245646337.

Adding to 1335450120 its reverse (210545331), we get a palindrome (1545995451).

The spelling of 1335450120 in words is "one billion, three hundred thirty-five million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1348 1685 2022 2696 3370 4044 5055 6740 8088 10110 13480 20220 33023 40440 66046 99069 132092 165115 198138 264184 330230 396276 495345 660460 792552 990690 1320920 1981380 3962760 11128751 22257502 33386253 44515004 55643755 66772506 89030008 111287510 133545012 166931265 222575020 267090024 333862530 445150040 667725060 1335450120