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1331220440 = 2351123912659
BaseRepresentation
bin100111101011000…
…1100111111011000
310102202221000010202
41033112030333120
510211243023230
6340032401332
744663121104
oct11726147730
93382830122
101331220440
11623491690
123119a6248
13182a49604
14c8b2a904
157bd0aa45
hex4f58cfd8

1331220440 has 64 divisors (see below), whose sum is σ = 3281472000. Its totient is φ = 482016640.

The previous prime is 1331220419. The next prime is 1331220463. The reversal of 1331220440 is 440221331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 98831 + ... + 111489.

It is an arithmetic number, because the mean of its divisors is an integer number (51273000).

Almost surely, 21331220440 is an apocalyptic number.

1331220440 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 1331220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640736000).

1331220440 is an abundant number, since it is smaller than the sum of its proper divisors (1950251560).

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

1331220440 is a wasteful number, since it uses less digits than its factorization.

1331220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12920 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1331220440 is about 36485.8937125021. The cubic root of 1331220440 is about 1100.0607239205.

Adding to 1331220440 its reverse (440221331), we get a palindrome (1771441771).

The spelling of 1331220440 in words is "one billion, three hundred thirty-one million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 239 440 478 956 1195 1912 2390 2629 4780 5258 9560 10516 12659 13145 21032 25318 26290 50636 52580 63295 101272 105160 126590 139249 253180 278498 506360 556996 696245 1113992 1392490 2784980 3025501 5569960 6051002 12102004 15127505 24204008 30255010 33280511 60510020 66561022 121020040 133122044 166402555 266244088 332805110 665610220 1331220440