Search a number
-
+
3640190840 = 23511131275011
BaseRepresentation
bin1101100011111000…
…1110011101111000
3100101200122212001222
43120332032131320
524423342101330
61401113531212
7156131053166
oct33076163570
910350585058
103640190840
1115a887a290
12857113b08
134602127a0
14267652236
151648a00e5
hexd8f8e778

3640190840 has 128 divisors (see below), whose sum is σ = 9700024320. Its totient is φ = 1212019200.

The previous prime is 3640190831. The next prime is 3640190861. The reversal of 3640190840 is 480910463.

It is a self number, because there is not a number n which added to its sum of digits gives 3640190840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723935 + ... + 728945.

It is an arithmetic number, because the mean of its divisors is an integer number (75781440).

Almost surely, 23640190840 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 3640190840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850012160).

3640190840 is an abundant number, since it is smaller than the sum of its proper divisors (6059833480).

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

3640190840 is a wasteful number, since it uses less digits than its factorization.

3640190840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3640190840 is about 60333.9940663636. The cubic root of 3640190840 is about 1538.3012189017.

The spelling of 3640190840 in words is "three billion, six hundred forty million, one hundred ninety thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 127 130 143 220 254 260 286 440 508 520 572 635 715 1016 1144 1270 1397 1430 1651 2540 2794 2860 3302 5011 5080 5588 5720 6604 6985 8255 10022 11176 13208 13970 16510 18161 20044 25055 27940 33020 36322 40088 50110 55121 55880 65143 66040 72644 90805 100220 110242 130286 145288 181610 200440 220484 260572 275605 325715 363220 440968 521144 551210 636397 651430 716573 726440 1102420 1272794 1302860 1433146 2204840 2545588 2605720 2866292 3181985 3582865 5091176 5732584 6363970 7000367 7165730 8273161 12727940 14000734 14331460 16546322 25455880 28001468 28662920 33092644 35001835 41365805 56002936 66185288 70003670 82731610 91004771 140007340 165463220 182009542 280014680 330926440 364019084 455023855 728038168 910047710 1820095420 3640190840