Search a number
-
+
200071296 = 273423839
BaseRepresentation
bin10111110110011…
…01100010000000
3111221110200020000
423323031202000
5402204240141
631504120000
74646402145
oct1373154200
9457420200
10200071296
11a2a31587
1257006000
13325b08a9
141c8003cc
15128705b6
hexbecd880

200071296 has 160 divisors (see below), whose sum is σ = 622036800. Its totient is φ = 63714816.

The previous prime is 200071279. The next prime is 200071309. The reversal of 200071296 is 692170002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 238045 + ... + 238883.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2200071296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311018400).

200071296 is an abundant number, since it is smaller than the sum of its proper divisors (421965504).

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

200071296 is an equidigital number, since it uses as much as digits as its factorization.

200071296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 200071296 is about 14144.6560933803. The cubic root of 200071296 is about 584.8730296431.

The spelling of 200071296 in words is "two hundred million, seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 276 288 324 368 384 414 432 552 576 621 648 736 828 839 864 1104 1152 1242 1296 1472 1656 1678 1728 1863 2208 2484 2517 2592 2944 3312 3356 3456 3726 4416 4968 5034 5184 6624 6712 7452 7551 8832 9936 10068 10368 13248 13424 14904 15102 19297 19872 20136 22653 26496 26848 29808 30204 38594 39744 40272 45306 53696 57891 59616 60408 67959 77188 79488 80544 90612 107392 115782 119232 120816 135918 154376 161088 173673 181224 231564 238464 241632 271836 308752 322176 347346 362448 463128 483264 521019 543672 617504 694692 724896 926256 966528 1042038 1087344 1235008 1389384 1449792 1563057 1852512 2084076 2174688 2470016 2778768 2899584 3126114 3705024 4168152 4349376 5557536 6252228 7410048 8336304 8698752 11115072 12504456 16672608 22230144 25008912 33345216 50017824 66690432 100035648 200071296