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1992870720 = 2632529107223
BaseRepresentation
bin111011011001000…
…1100101101000000
312010212221022200200
41312302030231000
513040133330340
6525430045200
7100246056501
oct16662145500
95125838620
101992870720
11932a182a5
124774a9800
13259b4c359
1414c960ba8
15b9e55330
hex76c8cb40

1992870720 has 336 divisors, whose sum is σ = 7189378560. Its totient is φ = 506032128.

The previous prime is 1992870701. The next prime is 1992870739. The reversal of 1992870720 is 270782991.

It is an interprime number because it is at equal distance from previous prime (1992870701) and next prime (1992870739).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8936529 + ... + 8936751.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 21992870720 is an apocalyptic number.

1992870720 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 1992870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

1992870720 is an abundant number, since it is smaller than the sum of its proper divisors (5196507840).

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

1992870720 is a wasteful number, since it uses less digits than its factorization.

1992870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1992870720 is about 44641.5806171780. The cubic root of 1992870720 is about 1258.4222125526.

The spelling of 1992870720 in words is "one billion, nine hundred ninety-two million, eight hundred seventy thousand, seven hundred twenty".