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1998976320 = 26365111941
BaseRepresentation
bin111011100100101…
…1111010101000000
312011022102112000000
41313021133111000
513043214220240
6530205000000
7100352006205
oct16711372500
95138375000
101998976320
11936408550
12479553000
1325b1a9433
1414d6adcac
15ba75e430
hex7725f540

1998976320 has 784 divisors, whose sum is σ = 8395289280. Its totient is φ = 447897600.

The previous prime is 1998976313. The next prime is 1998976327. The reversal of 1998976320 is 236798991.

It is an interprime number because it is at equal distance from previous prime (1998976313) and next prime (1998976327).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998976327) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48755500 + ... + 48755540.

Almost surely, 21998976320 is an apocalyptic number.

1998976320 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 1998976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197644640).

1998976320 is an abundant number, since it is smaller than the sum of its proper divisors (6396312960).

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

1998976320 is a wasteful number, since it uses less digits than its factorization.

1998976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 1998976320 is about 44709.9129947711. The cubic root of 1998976320 is about 1259.7060538795.

The spelling of 1998976320 in words is "one billion, nine hundred ninety-eight million, nine hundred seventy-six thousand, three hundred twenty".