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2014199040 = 2835774933
BaseRepresentation
bin111100000001110…
…0011110100000000
312012101001220122110
41320003203310000
513111113332130
6531511135320
7100625260260
oct17003436400
95171056573
102014199040
11943a65607
12482674540
132613a9269
141517137a0
15bbc69ab0
hex780e3d00

2014199040 has 144 divisors (see below), whose sum is σ = 7351924608. Its totient is φ = 460382208.

The previous prime is 2014199027. The next prime is 2014199051. The reversal of 2014199040 is 409914102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2014198989 and 2014199007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10587 + ... + 64346.

It is an arithmetic number, because the mean of its divisors is an integer number (51055032).

Almost surely, 22014199040 is an apocalyptic number.

2014199040 is a gapful number since it is divisible by the number (20) 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 2014199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675962304).

2014199040 is an abundant number, since it is smaller than the sum of its proper divisors (5337725568).

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

2014199040 is an equidigital number, since it uses as much as digits as its factorization.

2014199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74964 (or 74950 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2014199040 is about 44879.8288766791. The cubic root of 2014199040 is about 1262.8956331544.

The spelling of 2014199040 in words is "two billion, fourteen million, one hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 74933 149866 224799 299732 374665 449598 524531 599464 749330 899196 1049062 1123995 1198928 1498660 1573593 1798392 2098124 2247990 2397856 2622655 2997320 3147186 3596784 4196248 4495980 4795712 5245310 5994640 6294372 7193568 7867965 8392496 8991960 9591424 10490620 11989280 12588744 14387136 15735930 16784992 17983920 19182848 20981240 23978560 25177488 28774272 31471860 33569984 35967840 41962480 47957120 50354976 57548544 62943720 67139968 71935680 83924960 95914240 100709952 125887440 134279936 143871360 167849920 201419904 251774880 287742720 335699840 402839808 503549760 671399680 1007099520 2014199040