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1405633780 = 225174134217
BaseRepresentation
bin101001111001000…
…0100010011110100
310121221221121001101
41103302010103310
510334320240110
6351251335444
746555455445
oct12362042364
93557847041
101405633780
11661497511
123328b1584
131952a1b85
14d497b2cc
158360913a
hex53c844f4

1405633780 has 24 divisors (see below), whose sum is σ = 3125468808. Its totient is φ = 529179648.

The previous prime is 1405633777. The next prime is 1405633787. The reversal of 1405633780 is 873365041.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 1392931684 = 3564^2 + 37322^2 .

It is a super-3 number, since 3×14056337803 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405633787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2066769 + ... + 2067448.

It is an arithmetic number, because the mean of its divisors is an integer number (130227867).

Almost surely, 21405633780 is an apocalyptic number.

1405633780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405633780 is an abundant number, since it is smaller than the sum of its proper divisors (1719835028).

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

1405633780 is a wasteful number, since it uses less digits than its factorization.

1405633780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134243 (or 4134241 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 1405633780 is about 37491.7828330422. The cubic root of 1405633780 is about 1120.1875164349.

The spelling of 1405633780 in words is "one billion, four hundred five million, six hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 4134217 8268434 16536868 20671085 41342170 70281689 82684340 140563378 281126756 351408445 702816890 1405633780