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6040146588 = 22371921391433
BaseRepresentation
bin1011010000000010…
…10101001010011100
3120120221121020102220
411220001111022130
544332234142323
62435205145340
7302452253550
oct55001251234
916527536386
106040146588
11261a561593
1212069bb250
137534b4248
1441429d860
152554180e3
hex16805529c

6040146588 has 144 divisors (see below), whose sum is σ = 17133661440. Its totient is φ = 1622032128.

The previous prime is 6040146571. The next prime is 6040146589. The reversal of 6040146588 is 8856410406.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6040146589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4214320 + ... + 4215752.

It is an arithmetic number, because the mean of its divisors is an integer number (118983760).

Almost surely, 26040146588 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 6040146588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8566830720).

6040146588 is an abundant number, since it is smaller than the sum of its proper divisors (11093514852).

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

6040146588 is a wasteful number, since it uses less digits than its factorization.

6040146588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 6040146588 is about 77718.3799882628. The cubic root of 6040146588 is about 1821.1644309474.

It can be divided in two parts, 6040 and 146588, that added together give a triangular number (152628 = T552).

The spelling of 6040146588 in words is "six billion, forty million, one hundred forty-six thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 139 228 266 278 361 399 417 532 556 722 798 834 973 1083 1433 1444 1596 1668 1946 2166 2527 2641 2866 2919 3892 4299 4332 5054 5282 5732 5838 7581 7923 8598 10031 10108 10564 11676 15162 15846 17196 18487 20062 27227 30093 30324 31692 36974 40124 50179 54454 55461 60186 73948 81681 100358 108908 110922 120372 150537 163362 190589 199187 200716 221844 301074 326724 351253 381178 398374 517313 571767 597561 602148 702506 762356 796748 1034626 1053759 1143534 1195122 1394309 1405012 1551939 2069252 2107518 2287068 2390244 2788618 3103878 3621191 3784553 4182927 4215036 5577236 6207756 7242382 7569106 8365854 10863573 11353659 14484764 15138212 16731708 21727146 22707318 26491871 43454292 45414636 52983742 71906507 79475613 105967484 143813014 158951226 215719521 287626028 317902452 431439042 503345549 862878084 1006691098 1510036647 2013382196 3020073294 6040146588