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662249940 = 2235112194801
BaseRepresentation
bin100111011110010…
…010000111010100
31201011010210010120
4213132102013110
52324013444230
6145414151540
722261013562
oct4736220724
91634123116
10662249940
1130a906200
121659525b0
13a7282991
1463d4ca32
153d217310
hex277921d4

662249940 has 144 divisors (see below), whose sum is σ = 2145917760. Its totient is φ = 152064000.

The previous prime is 662249927. The next prime is 662249953. The reversal of 662249940 is 49942266.

662249940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (662249927) and next prime (662249953).

It is a junction number, because it is equal to n+sod(n) for n = 662249892 and 662249901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135540 + ... + 140340.

Almost surely, 2662249940 is an apocalyptic number.

662249940 is a gapful number since it is divisible by the number (60) 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 662249940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072958880).

662249940 is an abundant number, since it is smaller than the sum of its proper divisors (1483667820).

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

662249940 is a wasteful number, since it uses less digits than its factorization.

662249940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 662249940 is about 25734.2172991525. The cubic root of 662249940 is about 871.6470055819.

The spelling of 662249940 in words is "six hundred sixty-two million, two hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 627 660 726 836 1045 1140 1210 1254 1452 1815 2090 2299 2420 2508 3135 3630 4180 4598 4801 6270 6897 7260 9196 9602 11495 12540 13794 14403 19204 22990 24005 27588 28806 34485 45980 48010 52811 57612 68970 72015 91219 96020 105622 137940 144030 158433 182438 211244 264055 273657 288060 316866 364876 456095 528110 547314 580921 633732 792165 912190 1003409 1056220 1094628 1161842 1368285 1584330 1742763 1824380 2006818 2323684 2736570 2904605 3010227 3168660 3485526 4013636 5017045 5473140 5809210 6020454 6971052 8713815 10034090 11037499 11618420 12040908 15051135 17427630 20068180 22074998 30102270 33112497 34855260 44149996 55187495 60204540 66224994 110374990 132449988 165562485 220749980 331124970 662249940