Search a number
-
+
1961717380 = 2257172335837
BaseRepresentation
bin111010011101101…
…0110111010000100
312001201022120100021
41310323112322010
513004144424010
6522354224524
766420215440
oct16473267204
95051276307
101961717380
1191737a337
12468b85144
1325356241c
14148771820
15b734e8da
hex74ed6e84

1961717380 has 96 divisors (see below), whose sum is σ = 5201957376. Its totient is φ = 605485056.

The previous prime is 1961717353. The next prime is 1961717389. The reversal of 1961717380 is 837171691.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1961717389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36822 + ... + 72658.

It is an arithmetic number, because the mean of its divisors is an integer number (54187056).

Almost surely, 21961717380 is an apocalyptic number.

1961717380 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 1961717380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600978688).

1961717380 is an abundant number, since it is smaller than the sum of its proper divisors (3240239996).

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

1961717380 is a wasteful number, since it uses less digits than its factorization.

1961717380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35893 (or 35891 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 43.

The square root of 1961717380 is about 44291.2788255205. The cubic root of 1961717380 is about 1251.8303595855.

The spelling of 1961717380 in words is "one billion, nine hundred sixty-one million, seven hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1190 1564 1610 1955 2380 2737 3220 3910 5474 7820 10948 13685 27370 35837 54740 71674 143348 179185 250859 358370 501718 609229 716740 824251 1003436 1218458 1254295 1648502 2436916 2508590 3046145 3297004 4121255 4264603 5017180 5769757 6092290 8242510 8529206 11539514 12184580 14012267 16485020 17058412 21323015 23079028 28024534 28848785 42646030 56049068 57697570 70061335 85292060 98085869 115395140 140122670 196171738 280245340 392343476 490429345 980858690 1961717380