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1916676840 = 2335134328573
BaseRepresentation
bin111001000111110…
…0010101011101000
311221120120021100010
41302033202223220
512411132124330
6514105011520
765332325061
oct16217425350
94846507303
101916676840
118a3a06751
12455a83ba0
13247122510
141427a9568
15b34043b0
hex723e2ae8

1916676840 has 128 divisors (see below), whose sum is σ = 6336570240. Its totient is φ = 460809216.

The previous prime is 1916676821. The next prime is 1916676857. The reversal of 1916676840 is 486766191.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1916676840.

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, 52794 + ... + 81366.

It is an arithmetic number, because the mean of its divisors is an integer number (49504455).

Almost surely, 21916676840 is an apocalyptic number.

1916676840 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 1916676840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168285120).

1916676840 is an abundant number, since it is smaller than the sum of its proper divisors (4419893400).

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

1916676840 is a wasteful number, since it uses less digits than its factorization.

1916676840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28643 (or 28639 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1916676840 is about 43779.8679760458. The cubic root of 1916676840 is about 1242.1755166962.

The spelling of 1916676840 in words is "one billion, nine hundred sixteen million, six hundred seventy-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 860 1032 1118 1290 1560 1677 1720 2236 2580 2795 3354 4472 5160 5590 6708 8385 11180 13416 16770 22360 28573 33540 57146 67080 85719 114292 142865 171438 228584 285730 342876 371449 428595 571460 685752 742898 857190 1114347 1142920 1228639 1485796 1714380 1857245 2228694 2457278 2971592 3428760 3685917 3714490 4457388 4914556 5571735 6143195 7371834 7428980 8914776 9829112 11143470 12286390 14743668 14857960 15972307 18429585 22286940 24572780 29487336 31944614 36859170 44573880 47916921 49145560 63889228 73718340 79861535 95833842 127778456 147436680 159723070 191667684 239584605 319446140 383335368 479169210 638892280 958338420 1916676840