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1376900 = 225272281
BaseRepresentation
bin101010000001010000100
32120221202022
411100022010
5323030100
645302312
714463200
oct5201204
92527668
101376900
11860538
12564998
13392945
1427bb00
151c2e85
hex150284

1376900 has 54 divisors (see below), whose sum is σ = 3488058. Its totient is φ = 470400.

The previous prime is 1376899. The next prime is 1376923. The reversal of 1376900 is 96731.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 153664 + 1223236 = 392^2 + 1106^2 .

It is a super-2 number, since 2×13769002 = 3791707220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1376900.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4760 + ... + 5040.

21376900 is an apocalyptic number.

1376900 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 1376900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744029).

1376900 is an abundant number, since it is smaller than the sum of its proper divisors (2111158).

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

1376900 is a wasteful number, since it uses less digits than its factorization.

1376900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 1376900 is about 1173.4138229968. The cubic root of 1376900 is about 111.2501998902.

The spelling of 1376900 in words is "one million, three hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 281 350 490 562 700 980 1124 1225 1405 1967 2450 2810 3934 4900 5620 7025 7868 9835 13769 14050 19670 27538 28100 39340 49175 55076 68845 98350 137690 196700 275380 344225 688450 1376900