Search a number
-
+
1215358976 = 21113191239
BaseRepresentation
bin100100001110000…
…1110100000000000
310010200220122002102
41020130032200000
54442112441401
6320333205532
742055244426
oct11034164000
93120818072
101215358976
11574047207
1229b0308a8
13164a41330
14b75ab116
1571a7156b
hex4870e800

1215358976 has 96 divisors (see below), whose sum is σ = 2641766400. Its totient is φ = 555663360.

The previous prime is 1215358967. The next prime is 1215358987. The reversal of 1215358976 is 6798535121.

It is a self number, because there is not a number n which added to its sum of digits gives 1215358976.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5085065 + ... + 5085303.

It is an arithmetic number, because the mean of its divisors is an integer number (27518400).

Almost surely, 21215358976 is an apocalyptic number.

1215358976 is a gapful number since it is divisible by the number (16) 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 1215358976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

1215358976 is an abundant number, since it is smaller than the sum of its proper divisors (1426407424).

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

1215358976 is a wasteful number, since it uses less digits than its factorization.

1215358976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 445 counting only the distinct ones).

The product of its digits is 453600, while the sum is 47.

The square root of 1215358976 is about 34861.9990247260. Note that the first 3 decimals coincide. The cubic root of 1215358976 is about 1067.1730706559.

The spelling of 1215358976 in words is "one billion, two hundred fifteen million, three hundred fifty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 191 208 239 256 382 416 478 512 764 832 956 1024 1528 1664 1912 2048 2483 3056 3107 3328 3824 4966 6112 6214 6656 7648 9932 12224 12428 13312 15296 19864 24448 24856 26624 30592 39728 45649 48896 49712 61184 79456 91298 97792 99424 122368 158912 182596 195584 198848 244736 317824 365192 391168 397696 489472 593437 635648 730384 795392 1186874 1271296 1460768 1590784 2373748 2542592 2921536 3181568 4747496 5085184 5843072 6363136 9494992 11686144 18989984 23372288 37979968 46744576 75959936 93489152 151919872 303839744 607679488 1215358976