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1968516 = 2233111657
BaseRepresentation
bin111100000100110000100
310201000022000
413200212010
51000443031
6110105300
722506054
oct7404604
93630260
101968516
111124a80
127ab230
1353c004
14393564
1528d3e6
hex1e0984

1968516 has 48 divisors (see below), whose sum is σ = 5570880. Its totient is φ = 596160.

The previous prime is 1968487. The next prime is 1968521. The reversal of 1968516 is 6158691.

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 15 ways as a sum of consecutive naturals, for example, 360 + ... + 2016.

It is an arithmetic number, because the mean of its divisors is an integer number (116060).

21968516 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 1968516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785440).

1968516 is an abundant number, since it is smaller than the sum of its proper divisors (3602364).

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

1968516 is a wasteful number, since it uses less digits than its factorization.

1968516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1968516 is about 1403.0381320549. The cubic root of 1968516 is about 125.3274826251.

It can be divided in two parts, 19685 and 16, that added together give a triangular number (19701 = T198).

The spelling of 1968516 in words is "one million, nine hundred sixty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1657 3314 4971 6628 9942 14913 18227 19884 29826 36454 44739 54681 59652 72908 89478 109362 164043 178956 218724 328086 492129 656172 984258 1968516