Search a number
-
+
16980360 = 2335711993
BaseRepresentation
bin100000011000…
…1100110001000
31011221200200020
41000301212020
513321332420
61403540440
7264221265
oct100614610
934850606
1016980360
119648661
12582a720
133696b67
14238026c
151756340
hex1031988

16980360 has 64 divisors (see below), whose sum is σ = 51684480. Its totient is φ = 4462080.

The previous prime is 16980329. The next prime is 16980391. The reversal of 16980360 is 6308961.

It is an interprime number because it is at equal distance from previous prime (16980329) and next prime (16980391).

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, 7524 + ... + 9516.

It is an arithmetic number, because the mean of its divisors is an integer number (807570).

Almost surely, 216980360 is an apocalyptic number.

16980360 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 16980360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25842240).

16980360 is an abundant number, since it is smaller than the sum of its proper divisors (34704120).

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

16980360 is a wasteful number, since it uses less digits than its factorization.

16980360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 16980360 is about 4120.7232374912. The cubic root of 16980360 is about 257.0291013592.

The spelling of 16980360 in words is "sixteen million, nine hundred eighty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 1993 2130 2840 3986 4260 5979 7972 8520 9965 11958 15944 19930 23916 29895 39860 47832 59790 79720 119580 141503 239160 283006 424509 566012 707515 849018 1132024 1415030 1698036 2122545 2830060 3396072 4245090 5660120 8490180 16980360