Search a number
-
+
780964740 = 223452332069
BaseRepresentation
bin101110100011001…
…001001110000100
32000102112010020000
4232203021032010
53044411332430
6205254441300
725232043063
oct5643111604
92012463200
10780964740
1137091a406
12199663230
13c5a4991a
1475a121da
1548866e60
hex2e8c9384

780964740 has 120 divisors (see below), whose sum is σ = 2461619160. Its totient is φ = 207263232.

The previous prime is 780964729. The next prime is 780964763. The reversal of 780964740 is 47469087.

It can be written as a sum of positive squares in 4 ways, for example, as 544644 + 780420096 = 738^2 + 27936^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 376426 + ... + 378494.

It is an arithmetic number, because the mean of its divisors is an integer number (20513493).

Almost surely, 2780964740 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 780964740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230809580).

780964740 is an abundant number, since it is smaller than the sum of its proper divisors (1680654420).

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

780964740 is a wasteful number, since it uses less digits than its factorization.

780964740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 780964740 is about 27945.7463668445. The cubic root of 780964740 is about 920.8957642859.

The spelling of 780964740 in words is "seven hundred eighty million, nine hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 233 270 324 405 466 540 699 810 932 1165 1398 1620 2069 2097 2330 2796 3495 4138 4194 4660 6207 6291 6990 8276 8388 10345 10485 12414 12582 13980 18621 18873 20690 20970 24828 25164 31035 31455 37242 37746 41380 41940 55863 62070 62910 74484 75492 93105 94365 111726 124140 125820 167589 186210 188730 223452 279315 335178 372420 377460 482077 558630 670356 837945 964154 1117260 1446231 1675890 1928308 2410385 2892462 3351780 4338693 4820770 5784924 7231155 8677386 9641540 13016079 14462310 17354772 21693465 26032158 28924620 39048237 43386930 52064316 65080395 78096474 86773860 130160790 156192948 195241185 260321580 390482370 780964740