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1405057695 = 351923713019
BaseRepresentation
bin101001110111111…
…0111101010011111
310121220212022210220
41103233313222133
510334143321240
6351231132423
746550536056
oct12357675237
93556768726
101405057695
11661133708
12332674113
1319512c8b2
14d486b39d
15835435d0
hex53bf7a9f

1405057695 has 64 divisors (see below), whose sum is σ = 2504908800. Its totient is φ = 669271680.

The previous prime is 1405057681. The next prime is 1405057699. The reversal of 1405057695 is 5967505041.

It is not a de Polignac number, because 1405057695 - 24 = 1405057679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405057699) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463896 + ... + 466914.

It is an arithmetic number, because the mean of its divisors is an integer number (39139200).

Almost surely, 21405057695 is an apocalyptic number.

1405057695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1405057695 is a deficient number, since it is larger than the sum of its proper divisors (1099851105).

1405057695 is a wasteful number, since it uses less digits than its factorization.

1405057695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140.

The product of its (nonzero) digits is 189000, while the sum is 42.

The square root of 1405057695 is about 37484.0992288730. The cubic root of 1405057695 is about 1120.0344629595.

The spelling of 1405057695 in words is "one billion, four hundred five million, fifty-seven thousand, six hundred ninety-five".

Divisors: 1 3 5 15 19 23 57 69 71 95 115 213 285 345 355 437 1065 1311 1349 1633 2185 3019 4047 4899 6555 6745 8165 9057 15095 20235 24495 31027 45285 57361 69437 93081 155135 172083 208311 214349 286805 347185 465405 643047 860415 1041555 1071745 1319303 3215235 3957909 4072631 4930027 6596515 12217893 14790081 19789545 20363155 24650135 61089465 73950405 93670513 281011539 468352565 1405057695