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6290238040 = 2351929416961
BaseRepresentation
bin1011101101110110…
…10110101001011000
3121020101012012102021
411312323112221120
5100340300104130
62520101344224
7311610066262
oct56673265130
917211165367
106290238040
112738747a39
121276708074
13793259458
144395a0b32
1526c36937a
hex176ed6a58

6290238040 has 128 divisors (see below), whose sum is σ = 15789816000. Its totient is φ = 2245017600.

The previous prime is 6290238037. The next prime is 6290238049. The reversal of 6290238040 is 408320926.

It is a junction number, because it is equal to n+sod(n) for n = 6290237987 and 6290238005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6290238049) by changing a digit.

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, 900160 + ... + 907120.

Almost surely, 26290238040 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 6290238040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894908000).

6290238040 is an abundant number, since it is smaller than the sum of its proper divisors (9499577960).

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

6290238040 is a wasteful number, since it uses less digits than its factorization.

6290238040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7061 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 6290238040 is about 79311.0209239548. The cubic root of 6290238040 is about 1845.9603150887.

Adding to 6290238040 its reverse (408320926), we get a palindrome (6698558966).

The spelling of 6290238040 in words is "six billion, two hundred ninety million, two hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 41 58 76 82 95 116 145 152 164 190 205 232 290 328 380 410 551 580 760 779 820 1102 1160 1189 1558 1640 2204 2378 2755 3116 3895 4408 4756 5510 5945 6232 6961 7790 9512 11020 11890 13922 15580 22040 22591 23780 27844 31160 34805 45182 47560 55688 69610 90364 112955 132259 139220 180728 201869 225910 264518 278440 285401 403738 451820 529036 570802 661295 807476 903640 1009345 1058072 1141604 1322590 1427005 1614952 2018690 2283208 2645180 2854010 3835511 4037380 5290360 5422619 5708020 7671022 8074760 8276629 10845238 11416040 15342044 16553258 19177555 21690476 27113095 30684088 33106516 38355110 41383145 43380952 54226190 66213032 76710220 82766290 108452380 153420440 157255951 165532580 216904760 314511902 331065160 629023804 786279755 1258047608 1572559510 3145119020 6290238040