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649231140 = 2235193118371
BaseRepresentation
bin100110101100100…
…111101100100100
31200020122100200210
4212230213230210
52312200344030
6144231135420
722042242105
oct4654475444
91606570623
10649231140
11303523a68
12161514570
13a467504c
14623203ac
153bee4bb0
hex26b27b24

649231140 has 96 divisors (see below), whose sum is σ = 1975357440. Its totient is φ = 158716800.

The previous prime is 649231129. The next prime is 649231147. The reversal of 649231140 is 41132946.

649231140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 649231098 and 649231107.

It is not an unprimeable number, because it can be changed into a prime (649231147) 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, 26155 + ... + 44525.

It is an arithmetic number, because the mean of its divisors is an integer number (20576640).

Almost surely, 2649231140 is an apocalyptic number.

649231140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987678720).

649231140 is an abundant number, since it is smaller than the sum of its proper divisors (1326126300).

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

649231140 is a wasteful number, since it uses less digits than its factorization.

649231140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18433 (or 18431 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 649231140 is about 25480.0145211890. The cubic root of 649231140 is about 865.8974236111.

The spelling of 649231140 in words is "six hundred forty-nine million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 1140 1178 1767 1860 2356 2945 3534 5890 7068 8835 11780 17670 18371 35340 36742 55113 73484 91855 110226 183710 220452 275565 349049 367420 551130 569501 698098 1047147 1102260 1139002 1396196 1708503 1745245 2094294 2278004 2847505 3417006 3490490 4188588 5235735 5695010 6834012 6980980 8542515 10471470 10820519 11390020 17085030 20942940 21641038 32461557 34170060 43282076 54102595 64923114 108205190 129846228 162307785 216410380 324615570 649231140