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14377140 = 2232579873
BaseRepresentation
bin110110110110…
…000010110100
31000001102201200
4312312002310
512140032030
61232052500
7233126601
oct66660264
930042650
1014377140
11812a838
124994130
132c94cab
141ca36a8
1513ded60
hexdb60b4

14377140 has 36 divisors (see below), whose sum is σ = 43611204. Its totient is φ = 3833856.

The previous prime is 14377123. The next prime is 14377157. The reversal of 14377140 is 4177341.

14377140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14377123) and next prime (14377157).

It can be written as a sum of positive squares in 2 ways, for example, as 3006756 + 11370384 = 1734^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39757 + ... + 40116.

Almost surely, 214377140 is an apocalyptic number.

14377140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14377140 is an abundant number, since it is smaller than the sum of its proper divisors (29234064).

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

14377140 is a wasteful number, since it uses less digits than its factorization.

14377140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79888 (or 79883 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 14377140 is about 3791.7199263659. The cubic root of 14377140 is about 243.1592716957.

The spelling of 14377140 in words is "fourteen million, three hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 79873 159746 239619 319492 399365 479238 718857 798730 958476 1198095 1437714 1597460 2396190 2875428 3594285 4792380 7188570 14377140