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1405990170 = 2335131033889
BaseRepresentation
bin101001111001101…
…1011010100011010
310121222121200221000
41103303123110122
510334413141140
6351303125430
746561501464
oct12363332432
93558550830
101405990170
11661710252
12332a43876
13195398160
14d4a31134
1583679a30
hex53cdb51a

1405990170 has 128 divisors (see below), whose sum is σ = 4077964800. Its totient is φ = 342641664.

The previous prime is 1405990141. The next prime is 1405990193. The reversal of 1405990170 is 710995041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359586 + ... + 363474.

It is an arithmetic number, because the mean of its divisors is an integer number (31859100).

Almost surely, 21405990170 is an apocalyptic number.

1405990170 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 1405990170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038982400).

1405990170 is an abundant number, since it is smaller than the sum of its proper divisors (2671974630).

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

1405990170 is a wasteful number, since it uses less digits than its factorization.

1405990170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1405990170 is about 37496.5354399576. The cubic root of 1405990170 is about 1120.2821807064.

The spelling of 1405990170 in words is "one billion, four hundred five million, nine hundred ninety thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 103 117 130 135 195 206 234 270 309 351 390 515 585 618 702 927 1030 1170 1339 1545 1755 1854 2678 2781 3090 3510 3889 4017 4635 5562 6695 7778 8034 9270 11667 12051 13390 13905 19445 20085 23334 24102 27810 35001 36153 38890 40170 50557 58335 60255 70002 72306 101114 105003 116670 120510 151671 175005 180765 210006 252785 303342 350010 361530 400567 455013 505570 525015 758355 801134 910026 1050030 1201701 1365039 1516710 2002835 2275065 2403402 2730078 3605103 4005670 4550130 5207371 6008505 6825195 7210206 10414742 10815309 12017010 13650390 15622113 18025515 21630618 26036855 31244226 36051030 46866339 52073710 54076545 78110565 93732678 108153090 140599017 156221130 234331695 281198034 468663390 702995085 1405990170