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1961316 = 2232743181
BaseRepresentation
bin111011110110101100100
310200122102100
413132311210
51000230231
6110012100
722446060
oct7366544
93618370
101961316
11111a625
127a7030
13538956
14390aa0
1528b1e6
hex1ded64

1961316 has 72 divisors (see below), whose sum is σ = 5829824. Its totient is φ = 544320.

The previous prime is 1961257. The next prime is 1961321. The reversal of 1961316 is 6131691.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1961316.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10746 + ... + 10926.

21961316 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 1961316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914912).

1961316 is an abundant number, since it is smaller than the sum of its proper divisors (3868508).

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

1961316 is a wasteful number, since it uses less digits than its factorization.

1961316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 236 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1961316 is about 1400.4699211336. The cubic root of 1961316 is about 125.1744976246.

The spelling of 1961316 in words is "one million, nine hundred sixty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 181 252 258 301 362 387 516 543 602 724 774 903 1086 1204 1267 1548 1629 1806 2172 2534 2709 3258 3612 3801 5068 5418 6516 7602 7783 10836 11403 15204 15566 22806 23349 31132 45612 46698 54481 70047 93396 108962 140094 163443 217924 280188 326886 490329 653772 980658 1961316