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3857740920 = 2332511974177
BaseRepresentation
bin1110010111110000…
…0111010001111000
3100221212000112200100
43211330013101320
530400040202140
61434444435400
7164412154035
oct34574072170
910855015610
103857740920
1116aa659940
128b7b48b60
13496303047
142884c238c
15178a24530
hexe5f07478

3857740920 has 96 divisors (see below), whose sum is σ = 13677459120. Its totient is φ = 935208960.

The previous prime is 3857740919. The next prime is 3857740927. The reversal of 3857740920 is 290477583.

3857740920 is a `hidden beast` number, since 38 + 577 + 40 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×38577409203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3857740927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483129 + ... + 491048.

Almost surely, 23857740920 is an apocalyptic number.

3857740920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3857740920 is an abundant number, since it is smaller than the sum of its proper divisors (9819718200).

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

3857740920 is a wasteful number, since it uses less digits than its factorization.

3857740920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974205 (or 974198 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3857740920 is about 62110.7150176199. The cubic root of 3857740920 is about 1568.3549268992.

It can be divided in two parts, 38577 and 40920, that added together give a palindrome (79497).

The spelling of 3857740920 in words is "three billion, eight hundred fifty-seven million, seven hundred forty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 974177 1948354 2922531 3896708 4870885 5845062 7793416 8767593 9741770 10715947 11690124 14612655 17535186 19483540 21431894 23380248 29225310 32147841 35070372 38967080 42863788 43837965 53579735 58450620 64295682 70140744 85727576 87675930 96443523 107159470 116901240 128591364 160739205 175351860 192887046 214318940 257182728 321478410 350703720 385774092 428637880 482217615 642956820 771548184 964435230 1285913640 1928870460 3857740920