Search a number
-
+
981220680 = 2332511317993
BaseRepresentation
bin111010011111000…
…011110101001000
32112101100011201200
4322133003311020
54002143030210
6241210544200
733213144456
oct7237036510
92471304650
10981220680
11463967690
12234738060
1312839356b
149445d9d6
155b2220c0
hex3a7c3d48

981220680 has 192 divisors, whose sum is σ = 3591544320. Its totient is φ = 230169600.

The previous prime is 981220663. The next prime is 981220693. The reversal of 981220680 is 86022189.

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

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, 118764 + ... + 126756.

It is an arithmetic number, because the mean of its divisors is an integer number (18705960).

Almost surely, 2981220680 is an apocalyptic number.

981220680 is a gapful number since it is divisible by the number (90) 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 981220680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795772160).

981220680 is an abundant number, since it is smaller than the sum of its proper divisors (2610323640).

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

981220680 is a wasteful number, since it uses less digits than its factorization.

981220680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 981220680 is about 31324.4422137091. The cubic root of 981220680 is about 993.7006279019.

The spelling of 981220680 in words is "nine hundred eighty-one million, two hundred twenty thousand, six hundred eighty".