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1930053744 = 2437192903
BaseRepresentation
bin111001100001010…
…0100100001110000
311222111201220000000
41303002210201300
512423043204434
6515303430000
765554120563
oct16302444160
94874656000
101930053744
11900512a43
1245a455300
13249b27148
1414448c4da
15b4697b99
hex730a4870

1930053744 has 160 divisors (see below), whose sum is σ = 5905574400. Its totient is φ = 609280704.

The previous prime is 1930053737. The next prime is 1930053751. The reversal of 1930053744 is 4473500391.

It is an interprime number because it is at equal distance from previous prime (1930053737) and next prime (1930053751).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1930053699 and 1930053708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663397 + ... + 666299.

It is an arithmetic number, because the mean of its divisors is an integer number (36909840).

Almost surely, 21930053744 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 1930053744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952787200).

1930053744 is an abundant number, since it is smaller than the sum of its proper divisors (3975520656).

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

1930053744 is an equidigital number, since it uses as much as digits as its factorization.

1930053744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1930053744 is about 43932.3769445724. The cubic root of 1930053744 is about 1245.0586240358.

The spelling of 1930053744 in words is "one billion, nine hundred thirty million, fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 729 912 972 1026 1296 1368 1458 1539 1944 2052 2187 2736 2903 2916 3078 3888 4104 4374 4617 5806 5832 6156 8208 8709 8748 9234 11612 11664 12312 13851 17418 17496 18468 23224 24624 26127 27702 34836 34992 36936 41553 46448 52254 55157 55404 69672 73872 78381 83106 104508 110314 110808 139344 156762 165471 166212 209016 220628 221616 235143 313524 330942 332424 418032 441256 470286 496413 627048 661884 664848 705429 882512 940572 992826 1254096 1323768 1410858 1489239 1881144 1985652 2116287 2647536 2821716 2978478 3762288 3971304 4232574 4467717 5643432 5956956 6348861 7942608 8465148 8935434 11286864 11913912 12697722 13403151 16930296 17870868 23827824 25395444 26806302 33860592 35741736 40209453 50790888 53612604 71483472 80418906 101581776 107225208 120628359 160837812 214450416 241256718 321675624 482513436 643351248 965026872 1930053744