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980013540 = 22351119312521
BaseRepresentation
bin111010011010011…
…101000111100100
32112022001211211210
4322122131013210
54001340413130
6241125031420
733166656222
oct7232350744
92468054753
10980013540
11463212750
12234255570
1312805cc8c
1494227b12
155b0845b0
hex3a69d1e4

980013540 has 192 divisors, whose sum is σ = 3253985280. Its totient is φ = 217728000.

The previous prime is 980013527. The next prime is 980013547. The reversal of 980013540 is 45310089.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 980013498 and 980013507.

It is not an unprimeable number, because it can be changed into a prime (980013547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387480 + ... + 390000.

It is an arithmetic number, because the mean of its divisors is an integer number (16947840).

Almost surely, 2980013540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626992640).

980013540 is an abundant number, since it is smaller than the sum of its proper divisors (2273971740).

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

980013540 is a wasteful number, since it uses less digits than its factorization.

980013540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 980013540 is about 31305.1679439673. The cubic root of 980013540 is about 993.2929628904.

The spelling of 980013540 in words is "nine hundred eighty million, thirteen thousand, five hundred forty".