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14945400 = 23325219223
BaseRepresentation
bin111001000000…
…110001111000
31001010022020100
4321000301320
512311223100
61252155400
7241014411
oct71006170
931108210
1014945400
118488778
125008b60
133133842
141db0808
1514a3400
hexe40c78

14945400 has 216 divisors, whose sum is σ = 55275480. Its totient is φ = 3611520.

The previous prime is 14945393. The next prime is 14945407. The reversal of 14945400 is 454941.

It is an interprime number because it is at equal distance from previous prime (14945393) and next prime (14945407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14945407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 649789 + ... + 649811.

It is an arithmetic number, because the mean of its divisors is an integer number (255905).

Almost surely, 214945400 is an apocalyptic number.

14945400 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 14945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637740).

14945400 is an abundant number, since it is smaller than the sum of its proper divisors (40330080).

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

14945400 is a wasteful number, since it uses less digits than its factorization.

14945400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14945400 is about 3865.9280903814. The cubic root of 14945400 is about 246.3216098951.

The spelling of 14945400 in words is "fourteen million, nine hundred forty-five thousand, four hundred".