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6193920040 = 23571115712809
BaseRepresentation
bin1011100010010111…
…11011100000101000
3120222122221201221221
411301023323200220
5100141120420130
62502341111424
7306330310630
oct56113734050
916878851857
106193920040
112699340890
12124a3b8574
13779304859
1442a88b6c0
15263b9087a
hex1712fb828

6193920040 has 128 divisors (see below), whose sum is σ = 17487187200. Its totient is φ = 1918126080.

The previous prime is 6193920037. The next prime is 6193920043. The reversal of 6193920040 is 400293916.

It is an interprime number because it is at equal distance from previous prime (6193920037) and next prime (6193920043).

It is a junction number, because it is equal to n+sod(n) for n = 6193919978 and 6193920005.

It is not an unprimeable number, because it can be changed into a prime (6193920043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477156 + ... + 489964.

It is an arithmetic number, because the mean of its divisors is an integer number (136618650).

Almost surely, 26193920040 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 6193920040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743593600).

6193920040 is an abundant number, since it is smaller than the sum of its proper divisors (11293267160).

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

6193920040 is a wasteful number, since it uses less digits than its factorization.

6193920040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12995 (or 12991 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 6193920040 is about 78701.4614857945. The cubic root of 6193920040 is about 1836.4898462448.

The spelling of 6193920040 in words is "six billion, one hundred ninety-three million, nine hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 157 220 280 308 314 385 440 616 628 770 785 1099 1256 1540 1570 1727 2198 3080 3140 3454 4396 5495 6280 6908 8635 8792 10990 12089 12809 13816 17270 21980 24178 25618 34540 43960 48356 51236 60445 64045 69080 89663 96712 102472 120890 128090 140899 179326 241780 256180 281798 358652 448315 483560 512360 563596 704495 717304 896630 986293 1127192 1408990 1793260 1972586 2011013 2817980 3586520 3945172 4022026 4931465 5635960 7890344 8044052 9862930 10055065 14077091 16088104 19725860 20110130 22121143 28154182 39451720 40220260 44242286 56308364 70385455 80440520 88484572 110605715 112616728 140770910 154848001 176969144 221211430 281541820 309696002 442422860 563083640 619392004 774240005 884845720 1238784008 1548480010 3096960020 6193920040