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1376263980 = 2233572134001
BaseRepresentation
bin101001000001000…
…0001111100101100
310112220200110021000
41102002001330230
510304310421410
6344322040300
746051023300
oct12202017454
93486613230
101376263980
11646957553
12324aa9090
1318c18a9b0
14d0ad3d00
1580c56dc0
hex52081f2c

1376263980 has 288 divisors, whose sum is σ = 5365241280. Its totient is φ = 290304000.

The previous prime is 1376263961. The next prime is 1376263997. The reversal of 1376263980 is 893626731.

1376263980 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 2 + 639 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341980 + ... + 345980.

It is an arithmetic number, because the mean of its divisors is an integer number (18629310).

Almost surely, 21376263980 is an apocalyptic number.

1376263980 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 1376263980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682620640).

1376263980 is an abundant number, since it is smaller than the sum of its proper divisors (3988977300).

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

1376263980 is a wasteful number, since it uses less digits than its factorization.

1376263980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1376263980 is about 37098.0320232758. The cubic root of 1376263980 is about 1112.3306762458.

It can be divided in two parts, 1376 and 263980, that added together give a triangular number (265356 = T728).

The spelling of 1376263980 in words is "one billion, three hundred seventy-six million, two hundred sixty-three thousand, nine hundred eighty".