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1376820 = 223257649
BaseRepresentation
bin101010000001000110100
32120221122100
411100020310
5323024240
645302100
714463024
oct5201064
92527570
101376820
11860475
12564930
133928b3
1427ba84
151c2e30
hex150234

1376820 has 36 divisors (see below), whose sum is σ = 4176900. Its totient is φ = 367104.

The previous prime is 1376819. The next prime is 1376827. The reversal of 1376820 is 286731.

It can be written as a sum of positive squares in 2 ways, for example, as 236196 + 1140624 = 486^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3645 + ... + 4004.

It is an arithmetic number, because the mean of its divisors is an integer number (116025).

21376820 is an apocalyptic number.

1376820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1376820 is an abundant number, since it is smaller than the sum of its proper divisors (2800080).

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

1376820 is a wasteful number, since it uses less digits than its factorization.

1376820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1376820 is about 1173.3797339310. The cubic root of 1376820 is about 111.2480452461.

The spelling of 1376820 in words is "one million, three hundred seventy-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7649 15298 22947 30596 38245 45894 68841 76490 91788 114735 137682 152980 229470 275364 344205 458940 688410 1376820