Search a number
-
+
1971138950 = 2521117212401
BaseRepresentation
bin111010101111101…
…0011000110000110
312002101001020022022
41311133103012012
513014102421300
6523332203142
766563255534
oct16537230606
95071036268
101971138950
11921724960
124701694b2
132554b0911
14149b05154
15b80b1285
hex757d3186

1971138950 has 72 divisors (see below), whose sum is σ = 4249074024. Its totient is φ = 674560000.

The previous prime is 1971138943. The next prime is 1971138973. The reversal of 1971138950 is 598311791.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 152750 + ... + 165150.

It is an arithmetic number, because the mean of its divisors is an integer number (59014917).

Almost surely, 21971138950 is an apocalyptic number.

1971138950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1971138950 is an abundant number, since it is smaller than the sum of its proper divisors (2277935074).

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

1971138950 is a wasteful number, since it uses less digits than its factorization.

1971138950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 44.

The square root of 1971138950 is about 44397.5106284125. The cubic root of 1971138950 is about 1253.8312213971.

The spelling of 1971138950 in words is "one billion, nine hundred seventy-one million, one hundred thirty-eight thousand, nine hundred fifty".

Divisors: 1 2 5 10 11 17 22 25 34 50 55 85 110 170 187 275 289 374 425 550 578 850 935 1445 1870 2890 3179 4675 6358 7225 9350 12401 14450 15895 24802 31790 62005 79475 124010 136411 158950 210817 272822 310025 421634 620050 682055 1054085 1364110 2108170 2318987 3410275 3583889 4637974 5270425 6820550 7167778 10540850 11594935 17919445 23189870 35838890 39422779 57974675 78845558 89597225 115949350 179194450 197113895 394227790 985569475 1971138950