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1405816380 = 223257810091
BaseRepresentation
bin101001111001011…
…0000111000111100
310121222021212112100
41103302300320330
510334342111010
6351255305100
746560146013
oct12362607074
93558255470
101405816380
11661601721
1233297b190
13195337017
14d49c7a7a
15836432c0
hex53cb0e3c

1405816380 has 36 divisors (see below), whose sum is σ = 4264310232. Its totient is φ = 374884320.

The previous prime is 1405816331. The next prime is 1405816381. The reversal of 1405816380 is 836185041.

1405816380 is a `hidden beast` number, since 1 + 40 + 581 + 6 + 38 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405816381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3904866 + ... + 3905225.

It is an arithmetic number, because the mean of its divisors is an integer number (118453062).

Almost surely, 21405816380 is an apocalyptic number.

1405816380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405816380 is an abundant number, since it is smaller than the sum of its proper divisors (2858493852).

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

1405816380 is a wasteful number, since it uses less digits than its factorization.

1405816380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7810106 (or 7810101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1405816380 is about 37494.2179542393. The cubic root of 1405816380 is about 1120.2360206249.

The spelling of 1405816380 in words is "one billion, four hundred five million, eight hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7810091 15620182 23430273 31240364 39050455 46860546 70290819 78100910 93721092 117151365 140581638 156201820 234302730 281163276 351454095 468605460 702908190 1405816380