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3969030240 = 253357131251
BaseRepresentation
bin1110110010010010…
…1001100001100000
3101020121102121221000
43230210221201200
531112032431430
61453502032000
7200233125510
oct35444514140
911217377830
103969030240
11175746118a
12929278600
134b339a206
142991b1840
151836a8e60
hexec929860

3969030240 has 192 divisors, whose sum is σ = 15876241920. Its totient is φ = 907200000.

The previous prime is 3969030227. The next prime is 3969030253. The reversal of 3969030240 is 420309693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3969030227) and next prime (3969030253).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3969030195 and 3969030204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35386 + ... + 95865.

It is an arithmetic number, because the mean of its divisors is an integer number (82688760).

Almost surely, 23969030240 is an apocalyptic number.

3969030240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3969030240 is an abundant number, since it is smaller than the sum of its proper divisors (11907211680).

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

3969030240 is a wasteful number, since it uses less digits than its factorization.

3969030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131282 (or 131268 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3969030240 is about 63000.2399995429. The cubic root of 3969030240 is about 1583.2936474140.

The spelling of 3969030240 in words is "three billion, nine hundred sixty-nine million, thirty thousand, two hundred forty".