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3980648940 = 2235176163977
BaseRepresentation
bin1110110101000011…
…1110000111101100
3101021102021220210020
43231100332013230
531123021231230
61454555042140
7200433646332
oct35520760754
911242256706
103980648940
111762a77514
12931140350
134b5907798
1429a957b52
15184701810
hexed43e1ec

3980648940 has 96 divisors (see below), whose sum is σ = 11995107264. Its totient is φ = 982671360.

The previous prime is 3980648927. The next prime is 3980648963. The reversal of 3980648940 is 498460893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 30232 + ... + 94208.

It is an arithmetic number, because the mean of its divisors is an integer number (124949034).

Almost surely, 23980648940 is an apocalyptic number.

3980648940 is a gapful number since it is divisible by the number (30) 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 3980648940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997553632).

3980648940 is an abundant number, since it is smaller than the sum of its proper divisors (8014458324).

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

3980648940 is a wasteful number, since it uses less digits than its factorization.

3980648940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64067 (or 64065 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 3980648940 is about 63092.3841679802. The cubic root of 3980648940 is about 1584.8370884781.

The spelling of 3980648940 in words is "three billion, nine hundred eighty million, six hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 610 732 915 1020 1037 1220 1830 2074 3111 3660 4148 5185 6222 10370 12444 15555 20740 31110 62220 63977 127954 191931 255908 319885 383862 639770 767724 959655 1087609 1279540 1919310 2175218 3262827 3838620 3902597 4350436 5438045 6525654 7805194 10876090 11707791 13051308 15610388 16314135 19512985 21752180 23415582 32628270 39025970 46831164 58538955 65256540 66344149 78051940 117077910 132688298 199032447 234155820 265376596 331720745 398064894 663441490 796129788 995162235 1326882980 1990324470 3980648940