Search a number
-
+
20204064240 = 24351011276563
BaseRepresentation
bin10010110100010000…
…011000110111110000
31221011001111210202120
4102310100120313300
5312334220023430
613140455114240
71313450466243
oct226420306760
957131453676
1020204064240
118628738558
123aba372980
131b9ca55ac9
14d9944525a
157d3b29610
hex4b4418df0

20204064240 has 160 divisors (see below), whose sum is σ = 63760490496. Its totient is φ = 5291596800.

The previous prime is 20204064233. The next prime is 20204064269. The reversal of 20204064240 is 4246040202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20204064240.

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, 3075199 + ... + 3081761.

Almost surely, 220204064240 is an apocalyptic number.

20204064240 is a gapful number since it is divisible by the number (20) 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 20204064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31880245248).

20204064240 is an abundant number, since it is smaller than the sum of its proper divisors (43556426256).

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

20204064240 is a wasteful number, since it uses less digits than its factorization.

20204064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 20204064240 in words is "twenty billion, two hundred four million, sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 127 202 240 254 303 381 404 505 508 606 635 762 808 1010 1016 1212 1270 1515 1524 1616 1905 2020 2032 2424 2540 3030 3048 3810 4040 4848 5080 6060 6096 6563 7620 8080 10160 12120 12827 13126 15240 19689 24240 25654 26252 30480 32815 38481 39378 51308 52504 64135 65630 76962 78756 98445 102616 105008 128270 131260 153924 157512 192405 196890 205232 256540 262520 307848 315024 384810 393780 513080 525040 615696 662863 769620 787560 833501 1026160 1325726 1539240 1575120 1667002 1988589 2500503 2651452 3078480 3314315 3334004 3977178 4167505 5001006 5302904 6628630 6668008 7954356 8335010 9942945 10002012 10605808 12502515 13257260 13336016 15908712 16670020 19885890 20004024 25005030 26514520 31817424 33340040 39771780 40008048 50010060 53029040 66680080 79543560 84183601 100020120 159087120 168367202 200040240 252550803 336734404 420918005 505101606 673468808 841836010 1010203212 1262754015 1346937616 1683672020 2020406424 2525508030 3367344040 4040812848 5051016060 6734688080 10102032120 20204064240