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14074020 = 2233567389
BaseRepresentation
bin110101101100…
…000010100100
3222111000221000
4311230002210
512100332040
61221353300
7230425062
oct65540244
928430830
1014074020
117a43024
124868830
132bba02c
141c25032
151380130
hexd6c0a4

14074020 has 96 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 3687552.

The previous prime is 14074007. The next prime is 14074033. The reversal of 14074020 is 2047041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14074007) and next prime (14074033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14073984 and 14074002.

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, 35986 + ... + 36374.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 214074020 is an apocalyptic number.

14074020 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 14074020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

14074020 is an abundant number, since it is smaller than the sum of its proper divisors (30479580).

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

14074020 is a wasteful number, since it uses less digits than its factorization.

14074020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14074020 is about 3751.5356855560. The cubic root of 14074020 is about 241.4382389036.

The spelling of 14074020 in words is "fourteen million, seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 389 402 540 603 670 778 804 1005 1167 1206 1340 1556 1809 1945 2010 2334 2412 3015 3501 3618 3890 4020 4668 5835 6030 7002 7236 7780 9045 10503 11670 12060 14004 17505 18090 21006 23340 26063 35010 36180 42012 52126 52515 70020 78189 104252 105030 130315 156378 210060 234567 260630 312756 390945 469134 521260 703701 781890 938268 1172835 1407402 1563780 2345670 2814804 3518505 4691340 7037010 14074020