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1640120340 = 2235235632111
BaseRepresentation
bin110000111000010…
…0100000000010100
311020022011202010210
41201300210000110
511324332322330
6430425245420
755433535645
oct14160440024
94208152123
101640120340
11771894761
12399333870
13201a42311
14117b796cc
1598ec68b0
hex61c24014

1640120340 has 96 divisors (see below), whose sum is σ = 4802789376. Its totient is φ = 417408640.

The previous prime is 1640120333. The next prime is 1640120371. The reversal of 1640120340 is 430210461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775885 + ... + 777995.

It is an arithmetic number, because the mean of its divisors is an integer number (50029056).

Almost surely, 21640120340 is an apocalyptic number.

1640120340 is a gapful number since it is divisible by the number (10) 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 1640120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401394688).

1640120340 is an abundant number, since it is smaller than the sum of its proper divisors (3162669036).

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

1640120340 is a wasteful number, since it uses less digits than its factorization.

1640120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1640120340 is about 40498.3992276238. The cubic root of 1640120340 is about 1179.3025515565.

The spelling of 1640120340 in words is "one billion, six hundred forty million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 563 690 1126 1380 1689 2111 2252 2815 3378 4222 5630 6333 6756 8444 8445 10555 11260 12666 12949 16890 21110 25332 25898 31665 33780 38847 42220 48553 51796 63330 64745 77694 97106 126660 129490 145659 155388 194212 194235 242765 258980 291318 388470 485530 582636 728295 776940 971060 1188493 1456590 2376986 2913180 3565479 4753972 5942465 7130958 11884930 14261916 17827395 23769860 27335339 35654790 54670678 71309580 82006017 109341356 136676695 164012034 273353390 328024068 410030085 546706780 820060170 1640120340