Search a number
-
+
287099136 = 28323532
BaseRepresentation
bin10001000111001…
…100100100000000
3202000020010222100
4101013030210000
51041444133021
644253310400
710054205502
oct2107144400
9660203870
10287099136
11138072915
1280195400
1347631a5c
142a1b5d72
151a311626
hex111cc900

287099136 has 81 divisors (see below), whose sum is σ = 830129209. Its totient is φ = 95428608.

The previous prime is 287099119. The next prime is 287099147. The reversal of 287099136 is 631990782.

The square root of 287099136 is 16944.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 116640000 + 170459136 = 10800^2 + 13056^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 287099091 and 287099100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 813136 + ... + 813488.

Almost surely, 2287099136 is an apocalyptic number.

287099136 is the 16944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287099136

287099136 is an abundant number, since it is smaller than the sum of its proper divisors (543030073).

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

287099136 is an frugal number, since it uses more digits than its factorization.

287099136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The cubic root of 287099136 is about 659.6961686925.

The spelling of 287099136 in words is "two hundred eighty-seven million, ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 353 384 576 706 768 1059 1152 1412 2118 2304 2824 3177 4236 5648 6354 8472 11296 12708 16944 22592 25416 33888 45184 50832 67776 90368 101664 124609 135552 203328 249218 271104 373827 406656 498436 747654 813312 996872 1121481 1495308 1993744 2242962 2990616 3987488 4485924 5981232 7974976 8971848 11962464 15949952 17943696 23924928 31899904 35887392 47849856 71774784 95699712 143549568 287099136