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6982205440 = 21857761
BaseRepresentation
bin1101000000010110…
…00000000000000000
3200000121020210020111
412200023000000000
5103244421033230
63112500521104
7335011524040
oct64013000000
920017223214
106982205440
112a63300321
12142a3b0194
13873715612
144a3447720
152acea192a
hex1a02c0000

6982205440 has 152 divisors (see below), whose sum is σ = 19176321312. Its totient is φ = 2390753280.

The previous prime is 6982205393. The next prime is 6982205449. The reversal of 6982205440 is 445022896.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6982205393 and 6982205402.

It is not an unprimeable number, because it can be changed into a prime (6982205449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9174660 + ... + 9175420.

Almost surely, 26982205440 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 6982205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588160656).

6982205440 is an abundant number, since it is smaller than the sum of its proper divisors (12194115872).

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

6982205440 is an frugal number, since it uses more digits than its factorization.

6982205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 6982205440 is about 83559.5921483584. The cubic root of 6982205440 is about 1911.3088659414.

The spelling of 6982205440 in words is "six billion, nine hundred eighty-two million, two hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 761 896 1024 1120 1280 1522 1792 2048 2240 2560 3044 3584 3805 4096 4480 5120 5327 6088 7168 7610 8192 8960 10240 10654 12176 14336 15220 16384 17920 20480 21308 24352 26635 28672 30440 32768 35840 40960 42616 48704 53270 57344 60880 65536 71680 81920 85232 97408 106540 114688 121760 131072 143360 163840 170464 194816 213080 229376 243520 262144 286720 327680 340928 389632 426160 458752 487040 573440 655360 681856 779264 852320 917504 974080 1146880 1310720 1363712 1558528 1704640 1835008 1948160 2293760 2727424 3117056 3409280 3896320 4587520 5454848 6234112 6818560 7792640 9175040 10909696 12468224 13637120 15585280 21819392 24936448 27274240 31170560 43638784 49872896 54548480 62341120 87277568 99745792 109096960 124682240 174555136 199491584 218193920 249364480 349110272 436387840 498728960 698220544 872775680 997457920 1396441088 1745551360 3491102720 6982205440