Search a number
-
+
761987072 = 216711151
BaseRepresentation
bin101101011010110…
…000000000000000
31222002210221202102
4231122300000000
53030032041242
6203340005532
724611532440
oct5532600000
91862727672
10761987072
11361138190
121932308a8
13c1b33932
14732b2120
1546d68e32
hex2d6b0000

761987072 has 136 divisors (see below), whose sum is σ = 1912588032. Its totient is φ = 294912000.

The previous prime is 761987071. The next prime is 761987081. The reversal of 761987072 is 270789167.

It is not an unprimeable number, because it can be changed into a prime (761987071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5046197 + ... + 5046347.

Almost surely, 2761987072 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 761987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956294016).

761987072 is an abundant number, since it is smaller than the sum of its proper divisors (1150600960).

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

761987072 is an equidigital number, since it uses as much as digits as its factorization.

761987072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 47.

The square root of 761987072 is about 27604.1133166780. The cubic root of 761987072 is about 913.3751696727.

The spelling of 761987072 in words is "seven hundred sixty-one million, nine hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 151 154 176 224 256 302 308 352 448 512 604 616 704 896 1024 1057 1208 1232 1408 1661 1792 2048 2114 2416 2464 2816 3322 3584 4096 4228 4832 4928 5632 6644 7168 8192 8456 9664 9856 11264 11627 13288 14336 16384 16912 19328 19712 22528 23254 26576 28672 32768 33824 38656 39424 45056 46508 53152 57344 65536 67648 77312 78848 90112 93016 106304 114688 135296 154624 157696 180224 186032 212608 229376 270592 309248 315392 360448 372064 425216 458752 541184 618496 630784 720896 744128 850432 1082368 1236992 1261568 1488256 1700864 2164736 2473984 2523136 2976512 3401728 4329472 4947968 5046272 5953024 6803456 8658944 9895936 11906048 13606912 17317888 23812096 27213824 34635776 47624192 54427648 69271552 95248384 108855296 190496768 380993536 761987072