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1335972 = 2231129349
BaseRepresentation
bin101000110001010100100
32111212121110
411012022210
5320222342
644345020
714232651
oct5061244
92455543
101335972
11832810
12545170
1337a121
1426ac28
151b5c9c
hex1462a4

1335972 has 48 divisors (see below), whose sum is σ = 3528000. Its totient is φ = 389760.

The previous prime is 1335953. The next prime is 1335977. The reversal of 1335972 is 2795331.

It is not an unprimeable number, because it can be changed into a prime (1335977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3654 + ... + 4002.

It is an arithmetic number, because the mean of its divisors is an integer number (73500).

21335972 is an apocalyptic number.

1335972 is a gapful number since it is divisible by the number (12) 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 1335972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764000).

1335972 is an abundant number, since it is smaller than the sum of its proper divisors (2192028).

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

1335972 is a wasteful number, since it uses less digits than its factorization.

1335972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 1335972 is about 1155.8425498311. The cubic root of 1335972 is about 110.1367994982.

It can be divided in two parts, 13359 and 72, that added together give a palindrome (13431).

The spelling of 1335972 in words is "one million, three hundred thirty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 349 638 698 957 1047 1276 1396 1914 2094 3828 3839 4188 7678 10121 11517 15356 20242 23034 30363 40484 46068 60726 111331 121452 222662 333993 445324 667986 1335972