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4750680 = 2335115961
BaseRepresentation
bin10010000111110101011000
322221100201010
4102013311120
52204010210
6245453520
755244244
oct22076530
98840633
104750680
112755290
1217112a0
13ca446c
148b9424
1563c920
hex487d58

4750680 has 128 divisors (see below), whose sum is σ = 16070400. Its totient is φ = 1113600.

The previous prime is 4750679. The next prime is 4750699. The reversal of 4750680 is 860574.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77850 + ... + 77910.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

Almost surely, 24750680 is an apocalyptic number.

4750680 is a gapful number since it is divisible by the number (40) 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 4750680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200).

4750680 is an abundant number, since it is smaller than the sum of its proper divisors (11319720).

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

4750680 is a wasteful number, since it uses less digits than its factorization.

4750680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4750680 is about 2179.6054688865. The cubic root of 4750680 is about 168.1067915126.

It can be divided in two parts, 47506 and 80, that added together give a triangular number (47586 = T308).

The spelling of 4750680 in words is "four million, seven hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 59 60 61 66 88 110 118 120 122 132 165 177 183 220 236 244 264 295 305 330 354 366 440 472 488 590 610 649 660 671 708 732 885 915 1180 1220 1298 1320 1342 1416 1464 1770 1830 1947 2013 2360 2440 2596 2684 3245 3355 3540 3599 3660 3894 4026 5192 5368 6490 6710 7080 7198 7320 7788 8052 9735 10065 10797 12980 13420 14396 15576 16104 17995 19470 20130 21594 25960 26840 28792 35990 38940 39589 40260 43188 53985 71980 77880 79178 80520 86376 107970 118767 143960 158356 197945 215940 237534 316712 395890 431880 475068 593835 791780 950136 1187670 1583560 2375340 4750680