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1377869220 = 22325721361197
BaseRepresentation
bin101001000100000…
…1001110110100100
310120000201000020100
41102020021312210
510310213303340
6344420304100
746100460300
oct12210116644
93500630210
101377869220
116478535a2
12325542030
1318c600540
14d0dd0d00
1580e72830
hex52209da4

1377869220 has 432 divisors, whose sum is σ = 5348751408. Its totient is φ = 284497920.

The previous prime is 1377869219. The next prime is 1377869231. The reversal of 1377869220 is 229687731.

It can be written as a sum of positive squares in 8 ways, for example, as 82301184 + 1295568036 = 9072^2 + 35994^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 6994162 + ... + 6994358.

It is an arithmetic number, because the mean of its divisors is an integer number (12381369).

Almost surely, 21377869220 is an apocalyptic number.

1377869220 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 1377869220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674375704).

1377869220 is an abundant number, since it is smaller than the sum of its proper divisors (3970882188).

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

1377869220 is a wasteful number, since it uses less digits than its factorization.

1377869220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1377869220 is about 37119.6608281918. The cubic root of 1377869220 is about 1112.7629731404.

The spelling of 1377869220 in words is "one billion, three hundred seventy-seven million, eight hundred sixty-nine thousand, two hundred twenty".