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1320774228 = 223323951169
BaseRepresentation
bin100111010111001…
…0110101001010100
310102001021021122000
41032232112221110
510201104233403
6335020435300
744505252504
oct11656265124
93361237560
101320774228
116185a7254
1230a3a8b30
1318082c917
14c75aba04
157ae457a3
hex4eb96a54

1320774228 has 48 divisors (see below), whose sum is σ = 3438624000. Its totient is φ = 438407424.

The previous prime is 1320774187. The next prime is 1320774229. The reversal of 1320774228 is 8224770231.

It is a super-2 number, since 2×13207742282 = 3488889122697991968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1320774192 and 1320774201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320774229) 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, 228 + ... + 51396.

It is an arithmetic number, because the mean of its divisors is an integer number (71638000).

Almost surely, 21320774228 is an apocalyptic number.

1320774228 is a gapful number since it is divisible by the number (18) 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 1320774228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719312000).

1320774228 is an abundant number, since it is smaller than the sum of its proper divisors (2117849772).

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

1320774228 is a wasteful number, since it uses less digits than its factorization.

1320774228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51421 (or 51413 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1320774228 is about 36342.4576494216. The cubic root of 1320774228 is about 1097.1757378015.

The spelling of 1320774228 in words is "one billion, three hundred twenty million, seven hundred seventy-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 717 956 1434 2151 2868 4302 6453 8604 12906 25812 51169 102338 153507 204676 307014 460521 614028 921042 1381563 1842084 2763126 5526252 12229391 24458782 36688173 48917564 73376346 110064519 146752692 220129038 330193557 440258076 660387114 1320774228