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1405393470 = 2335133671091
BaseRepresentation
bin101001111000100…
…1001101000111110
310121221111101102000
41103301021220332
510334240042340
6351242243130
746553435025
oct12361115076
93557441360
101405393470
11661342a08
123327b64a6
13195219690
14d49178bc
15835acd30
hex53c49a3e

1405393470 has 128 divisors (see below), whose sum is σ = 4050708480. Its totient is φ = 344684160.

The previous prime is 1405393399. The next prime is 1405393523. The reversal of 1405393470 is 743935041.

1405393470 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1287625 + ... + 1288715.

It is an arithmetic number, because the mean of its divisors is an integer number (31646160).

Almost surely, 21405393470 is an apocalyptic number.

1405393470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405393470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025354240).

1405393470 is an abundant number, since it is smaller than the sum of its proper divisors (2645315010).

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

1405393470 is a wasteful number, since it uses less digits than its factorization.

1405393470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1405393470 is about 37488.5778604630. The cubic root of 1405393470 is about 1120.1236762872.

The spelling of 1405393470 in words is "one billion, four hundred five million, three hundred ninety-three thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 367 390 585 702 734 1091 1101 1170 1755 1835 2182 2202 3273 3303 3510 3670 4771 5455 5505 6546 6606 9542 9819 9909 10910 11010 14183 14313 16365 16515 19638 19818 23855 28366 28626 29457 32730 33030 42549 42939 47710 49095 49545 58914 70915 71565 85098 85878 98190 99090 127647 128817 141830 143130 147285 212745 214695 255294 257634 294570 382941 400397 425490 429390 638235 644085 765882 800794 1201191 1276470 1288170 1914705 2001985 2402382 3603573 3829410 4003970 5205161 6005955 7207146 10410322 10810719 12011910 15615483 18017865 21621438 26025805 31230966 36035730 46846449 52051610 54053595 78077415 93692898 108107190 140539347 156154830 234232245 281078694 468464490 702696735 1405393470