Search a number
-
+
1137414410 = 251117237967
BaseRepresentation
bin100001111001011…
…1001000100001010
32221021020122020122
41003302321010022
54312134230120
6304510423242
740120601666
oct10362710412
92837218218
101137414410
1153404a310
12278b01b22
131518506a2
14ab0bb8a6
1569cc6a25
hex43cb910a

1137414410 has 96 divisors (see below), whose sum is σ = 2439220608. Its totient is φ = 378362880.

The previous prime is 1137414407. The next prime is 1137414419. The reversal of 1137414410 is 144147311.

It is a self number, because there is not a number n which added to its sum of digits gives 1137414410.

It is not an unprimeable number, because it can be changed into a prime (1137414419) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1175747 + ... + 1176713.

It is an arithmetic number, because the mean of its divisors is an integer number (25408548).

Almost surely, 21137414410 is an apocalyptic number.

1137414410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1137414410 is an abundant number, since it is smaller than the sum of its proper divisors (1301806198).

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

1137414410 is a wasteful number, since it uses less digits than its factorization.

1137414410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1137414410 is about 33725.5750136302. The cubic root of 1137414410 is about 1043.8535567946.

The spelling of 1137414410 in words is "one billion, one hundred thirty-seven million, four hundred fourteen thousand, four hundred ten".

Divisors: 1 2 5 10 11 17 22 34 37 55 74 85 110 170 185 187 289 370 374 407 578 629 814 935 967 1258 1445 1870 1934 2035 2890 3145 3179 4070 4835 6290 6358 6919 9670 10637 10693 13838 15895 16439 21274 21386 31790 32878 34595 35779 53185 53465 69190 71558 82195 106370 106930 117623 164390 178895 180829 235246 279463 357790 361658 393569 558926 588115 608243 787138 904145 1176230 1216486 1397315 1808290 1967845 2794630 3041215 3074093 3935690 6082430 6148186 6690673 10340131 13381346 15370465 20680262 30740930 33453365 51700655 66906730 103401310 113741441 227482882 568707205 1137414410