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1420401000 = 233531727851
BaseRepresentation
bin101010010101001…
…1001100101101000
310122222201211212110
41110222121211220
510402110313000
6352540042320
750125131534
oct12452314550
93588654773
101420401000
11669863327
123378333a0
13198372585
14d6902bc4
1584a74850
hex54a99968

1420401000 has 128 divisors (see below), whose sum is σ = 4692504960. Its totient is φ = 356480000.

The previous prime is 1420400999. The next prime is 1420401011. The reversal of 1420401000 is 1040241.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37075 + ... + 64925.

It is an arithmetic number, because the mean of its divisors is an integer number (36660195).

Almost surely, 21420401000 is an apocalyptic number.

1420401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346252480).

1420401000 is an abundant number, since it is smaller than the sum of its proper divisors (3272103960).

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

1420401000 is a wasteful number, since it uses less digits than its factorization.

1420401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27892 (or 27878 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1420401000 is about 37688.2077047981. The cubic root of 1420401000 is about 1124.0966575523.

Adding to 1420401000 its reverse (1040241), we get a palindrome (1421441241).

The spelling of 1420401000 in words is "one billion, four hundred twenty million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 27851 51000 55702 83553 111404 139255 167106 222808 278510 334212 417765 473467 557020 668424 696275 835530 946934 1114040 1392550 1420401 1671060 1893868 2088825 2367335 2785100 2840802 3342120 3481375 3787736 4177650 4734670 5570200 5681604 6962750 7102005 8355300 9469340 10444125 11363208 11836675 13925500 14204010 16710600 18938680 20888250 23673350 27851000 28408020 35510025 41776500 47346700 56816040 59183375 71020050 83553000 94693400 118366750 142040100 177550125 236733500 284080200 355100250 473467000 710200500 1420401000