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1406980000 = 2554103683
BaseRepresentation
bin101001111011100…
…1100111110100000
310122001110222201101
41103313030332200
510340141330000
6351340244144
746603063336
oct12367147640
93561428641
101406980000
11662226998
12333240654
1319565385a
14d4c0bb56
15837c2e6a
hex53dccfa0

1406980000 has 120 divisors (see below), whose sum is σ = 3500104608. Its totient is φ = 556512000.

The previous prime is 1406979983. The next prime is 1406980051. The reversal of 1406980000 is 896041.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 19 ways as a sum of consecutive naturals, for example, 2059659 + ... + 2060341.

Almost surely, 21406980000 is an apocalyptic number.

1406980000 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 1406980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750052304).

1406980000 is an abundant number, since it is smaller than the sum of its proper divisors (2093124608).

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

1406980000 is an equidigital number, since it uses as much as digits as its factorization.

1406980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1406980000 is about 37509.7320704907. The cubic root of 1406980000 is about 1120.5450153534.

The spelling of 1406980000 in words is "one billion, four hundred six million, nine hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 625 683 800 824 1000 1030 1250 1366 1648 2000 2060 2500 2575 2732 3296 3415 4000 4120 5000 5150 5464 6830 8240 10000 10300 10928 12875 13660 16480 17075 20000 20600 21856 25750 27320 34150 41200 51500 54640 64375 68300 70349 82400 85375 103000 109280 128750 136600 140698 170750 206000 257500 273200 281396 341500 351745 412000 426875 515000 546400 562792 683000 703490 853750 1030000 1125584 1366000 1406980 1707500 1758725 2060000 2251168 2732000 2813960 3415000 3517450 5627920 6830000 7034900 8793625 11255840 13660000 14069800 17587250 28139600 35174500 43968125 56279200 70349000 87936250 140698000 175872500 281396000 351745000 703490000 1406980000