Search a number
-
+
790752105 = 335111340961
BaseRepresentation
bin101111001000011…
…110101101101001
32001002221100222000
4233020132231221
53104413031410
6210244321213
725411165503
oct5710365551
92032840860
10790752105
113763a4840
121a09a3209
13c7a95770
147703cd73
154964bdc0
hex2f21eb69

790752105 has 64 divisors (see below), whose sum is σ = 1651587840. Its totient is φ = 353894400.

The previous prime is 790752101. The next prime is 790752113. The reversal of 790752105 is 501257097.

It is not a de Polignac number, because 790752105 - 22 = 790752101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 790752105.

It is not an unprimeable number, because it can be changed into a prime (790752101) 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 63 ways as a sum of consecutive naturals, for example, 1176 + ... + 39785.

It is an arithmetic number, because the mean of its divisors is an integer number (25806060).

Almost surely, 2790752105 is an apocalyptic number.

It is an amenable number.

790752105 is an abundant number, since it is smaller than the sum of its proper divisors (860835735).

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

790752105 is a wasteful number, since it uses less digits than its factorization.

790752105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40999 (or 40993 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 790752105 is about 28120.3148097599. The cubic root of 790752105 is about 924.7268168200.

The spelling of 790752105 in words is "seven hundred ninety million, seven hundred fifty-two thousand, one hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 585 715 1287 1485 1755 2145 3861 6435 19305 40961 122883 204805 368649 450571 532493 614415 1105947 1351713 1597479 1843245 2252855 2662465 4055139 4792437 5529735 5857423 6758565 7987395 12165417 14377311 17572269 20275695 23962185 29287115 52716807 60827085 71886555 87861345 158150421 263584035 790752105