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3980139840 = 263251381993
BaseRepresentation
bin1110110100111100…
…0001110101000000
3101021101100001102200
43231033001311000
531122403433330
61454540113200
7200426426145
oct35517016500
911241301380
103980139840
111762759a76
12930b35800
134b5789b41
1429a8643cc
15184650a60
hexed3c1d40

3980139840 has 84 divisors (see below), whose sum is σ = 13690032564. Its totient is φ = 1061369856.

The previous prime is 3980139803. The next prime is 3980139847. The reversal of 3980139840 is 489310893.

It can be written as a sum of positive squares in 2 ways, for example, as 1297728576 + 2682411264 = 36024^2 + 51792^2 .

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 (3980139847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 688117 + ... + 693876.

Almost surely, 23980139840 is an apocalyptic number.

3980139840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3980139840 is an abundant number, since it is smaller than the sum of its proper divisors (9709892724).

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

3980139840 is a wasteful number, since it uses less digits than its factorization.

3980139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382016 (or 1382003 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3980139840 is about 63088.3494791233. The cubic root of 3980139840 is about 1584.7695220274.

The spelling of 3980139840 in words is "three billion, nine hundred eighty million, one hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1381993 2763986 4145979 5527972 6909965 8291958 11055944 12437937 13819930 16583916 20729895 22111888 24875874 27639860 33167832 41459790 44223776 49751748 55279720 62189685 66335664 82919580 88447552 99503496 110559440 124379370 132671328 165839160 199006992 221118880 248758740 265342656 331678320 398013984 442237760 497517480 663356640 796027968 995034960 1326713280 1990069920 3980139840