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3990819840 = 21035737117
BaseRepresentation
bin1110110111011111…
…0001010000000000
3101022010102122122020
43231313301100000
531133122213330
61500001041440
7200616260160
oct35567612000
911263378566
103990819840
111768794017
12934626280
134b7a59077
1429c0445a0
15185560210
hexeddf1400

3990819840 has 176 divisors, whose sum is σ = 14588264832. Its totient is φ = 912162816.

The previous prime is 3990819827. The next prime is 3990819863. The reversal of 3990819840 is 489180993.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88962 + ... + 126078.

Almost surely, 23990819840 is an apocalyptic number.

3990819840 is a gapful number since it is divisible by the number (30) 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 3990819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7294132416).

3990819840 is an abundant number, since it is smaller than the sum of its proper divisors (10597444992).

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

3990819840 is a wasteful number, since it uses less digits than its factorization.

3990819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37152 (or 37134 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 3990819840 is about 63172.9359773630. The cubic root of 3990819840 is about 1586.1857387926.

The spelling of 3990819840 in words is "three billion, nine hundred ninety million, eight hundred nineteen thousand, eight hundred forty".