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3540253640 = 2357114326731
BaseRepresentation
bin1101001100000011…
…1111101111001000
3100010201121112000012
43103000333233020
524222301104030
61343143531052
7153505442120
oct32300775710
910121545005
103540253640
111557420a60
12829759a88
134455c1751
14258279c80
1515ac0e095
hexd303fbc8

3540253640 has 128 divisors (see below), whose sum is σ = 10162437120. Its totient is φ = 1077753600.

The previous prime is 3540253627. The next prime is 3540253643. The reversal of 3540253640 is 463520453.

It is a junction number, because it is equal to n+sod(n) for n = 3540253597 and 3540253606.

It is not an unprimeable number, because it can be changed into a prime (3540253643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119075 + ... + 145805.

It is an arithmetic number, because the mean of its divisors is an integer number (79394040).

Almost surely, 23540253640 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 3540253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081218560).

3540253640 is an abundant number, since it is smaller than the sum of its proper divisors (6622183480).

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

3540253640 is a wasteful number, since it uses less digits than its factorization.

3540253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26803 (or 26799 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 3540253640 is about 59500.0305882274. The cubic root of 3540253640 is about 1524.0929681071.

The spelling of 3540253640 in words is "three billion, five hundred forty million, two hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 43 44 55 56 70 77 86 88 110 140 154 172 215 220 280 301 308 344 385 430 440 473 602 616 770 860 946 1204 1505 1540 1720 1892 2365 2408 3010 3080 3311 3784 4730 6020 6622 9460 12040 13244 16555 18920 26488 26731 33110 53462 66220 106924 132440 133655 187117 213848 267310 294041 374234 534620 588082 748468 935585 1069240 1149433 1176164 1470205 1496936 1871170 2058287 2298866 2352328 2940410 3742340 4116574 4597732 5747165 5880820 7484680 8046031 8233148 9195464 10291435 11494330 11761640 12643763 16092062 16466296 20582870 22988660 25287526 32184124 40230155 41165740 45977320 50575052 63218815 64368248 80460310 82331480 88506341 101150104 126437630 160920620 177012682 252875260 321841240 354025364 442531705 505750520 708050728 885063410 1770126820 3540253640