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1376928 = 25327683
BaseRepresentation
bin101010000001010100000
32120221210100
411100022200
5323030203
645302400
714463240
oct5201240
92527710
101376928
11860563
12564a00
13392967
1427bb20
151c2ea3
hex1502a0

1376928 has 72 divisors (see below), whose sum is σ = 4481568. Its totient is φ = 392832.

The previous prime is 1376923. The next prime is 1376929. The reversal of 1376928 is 8296731.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1376892 and 1376901.

It is not an unprimeable number, because it can be changed into a prime (1376923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1675 + ... + 2357.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

21376928 is an apocalyptic number.

1376928 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 1376928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784).

1376928 is an abundant number, since it is smaller than the sum of its proper divisors (3104640).

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

1376928 is a wasteful number, since it uses less digits than its factorization.

1376928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1376928 is about 1173.4257539359. The cubic root of 1376928 is about 111.2509539959.

It can be divided in two parts, 1376 and 928, that added together give a square (2304 = 482).

The spelling of 1376928 in words is "one million, three hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 683 1008 1366 2016 2049 2732 4098 4781 5464 6147 8196 9562 10928 12294 14343 16392 19124 21856 24588 28686 32784 38248 43029 49176 57372 65568 76496 86058 98352 114744 152992 172116 196704 229488 344232 458976 688464 1376928