Search a number
-
+
1356858990 = 23255926171
BaseRepresentation
bin101000011100000…
…0000011001101110
310111120011120121200
41100320000121232
510234323441430
6342350110330
745424053054
oct12070003156
93446146550
101356858990
11636a03273
1231a4ab3a6
13188155356
14cc2c21d4
157e1c2460
hex50e0066e

1356858990 has 144 divisors (see below), whose sum is σ = 3698843616. Its totient is φ = 344937600.

The previous prime is 1356858977. The next prime is 1356858991. The reversal of 1356858990 is 998586531.

It is a happy number.

1356858990 is a `hidden beast` number, since 1 + 3 + 56 + 8 + 589 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356858991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19110655 + ... + 19110725.

It is an arithmetic number, because the mean of its divisors is an integer number (25686414).

Almost surely, 21356858990 is an apocalyptic number.

1356858990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356858990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849421808).

1356858990 is an abundant number, since it is smaller than the sum of its proper divisors (2341984626).

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

1356858990 is a wasteful number, since it uses less digits than its factorization.

1356858990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 1356858990 is about 36835.5669156863. The cubic root of 1356858990 is about 1107.0780467052.

The spelling of 1356858990 in words is "one billion, three hundred fifty-six million, eight hundred fifty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 61 71 90 118 122 142 177 183 213 295 305 354 355 366 426 531 549 590 610 639 710 885 915 1062 1065 1098 1278 1770 1830 2130 2655 2745 3195 3481 3599 4189 4331 5310 5490 6390 6962 7198 8378 8662 10443 10797 12567 12993 17405 17995 20886 20945 21594 21655 25134 25986 31329 32391 34810 35990 37701 38979 41890 43310 52215 53985 62658 62835 64782 64965 75402 77958 104430 107970 125670 129930 156645 161955 188505 194895 212341 247151 255529 313290 323910 377010 389790 424682 494302 511058 637023 741453 766587 1061705 1235755 1274046 1277645 1482906 1533174 1911069 2123410 2224359 2299761 2471510 2555290 3185115 3707265 3822138 3832935 4448718 4599522 6370230 7414530 7665870 9555345 11121795 11498805 15076211 19110690 22243590 22997610 30152422 45228633 75381055 90457266 135685899 150762110 226143165 271371798 452286330 678429495 1356858990