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6243501940 = 22513176612137
BaseRepresentation
bin1011101000010010…
…00100011101110100
3121010010020202112121
411310021010131310
5100241314030230
62511311525324
7310501614364
oct56411043564
917103222477
106243501940
112714326465
121262b29844
13786674860
144332b69a4
152681d677a
hex174244774

6243501940 has 96 divisors (see below), whose sum is σ = 14980127904. Its totient is φ = 2165391360.

The previous prime is 6243501931. The next prime is 6243501941. The reversal of 6243501940 is 491053426.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2223688336 + 4019813604 = 47156^2 + 63402^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 6243501896 and 6243501905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6243501941) 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, 2920552 + ... + 2922688.

It is an arithmetic number, because the mean of its divisors is an integer number (156042999).

Almost surely, 26243501940 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 6243501940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490063952).

6243501940 is an abundant number, since it is smaller than the sum of its proper divisors (8736625964).

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

6243501940 is a wasteful number, since it uses less digits than its factorization.

6243501940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 6243501940 is about 79015.8334765887. The cubic root of 6243501940 is about 1841.3771530825.

The spelling of 6243501940 in words is "six billion, two hundred forty-three million, five hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 661 884 1105 1322 2137 2210 2644 3305 4274 4420 6610 8548 8593 10685 11237 13220 17186 21370 22474 27781 34372 36329 42740 42965 44948 55562 56185 72658 85930 111124 112370 138905 145316 146081 171860 181645 224740 277810 292162 363290 472277 555620 584324 726580 730405 944554 1412557 1460810 1889108 2361385 2825114 2921620 4722770 5650228 7062785 9445540 14125570 18363241 24013469 28251140 36726482 48026938 73452964 91816205 96053876 120067345 183632410 240134690 312175097 367264820 480269380 624350194 1248700388 1560875485 3121750970 6243501940