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14970240 = 2732523113
BaseRepresentation
bin111001000110…
…110110000000
31001011120022100
4321012312000
512313021430
61252510400
7241150005
oct71066600
931146270
1014970240
1184a53aa
12501b400
133141c3c
141db98ac
1514aa960
hexe46d80

14970240 has 192 divisors, whose sum is σ = 54419040. Its totient is φ = 3784704.

The previous prime is 14970211. The next prime is 14970257. The reversal of 14970240 is 4207941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132424 + ... + 132536.

Almost surely, 214970240 is an apocalyptic number.

14970240 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 14970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

14970240 is an abundant number, since it is smaller than the sum of its proper divisors (39448800).

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

14970240 is a wasteful number, since it uses less digits than its factorization.

14970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14970240 is about 3869.1394392035. The cubic root of 14970240 is about 246.4580006261.

The spelling of 14970240 in words is "fourteen million, nine hundred seventy thousand, two hundred forty".