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4078980 = 22325173143
BaseRepresentation
bin1111100011110110000100
321200020022100
433203312010
52021011410
6223232100
746446033
oct17436604
97606270
104078980
112336664
121448630
13aca7c9
1478271a
155588c0
hex3e3d84

4078980 has 144 divisors (see below), whose sum is σ = 13837824. Its totient is φ = 967680.

The previous prime is 4078969. The next prime is 4078993. The reversal of 4078980 is 898704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94839 + ... + 94881.

It is an arithmetic number, because the mean of its divisors is an integer number (96096).

Almost surely, 24078980 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 4078980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912).

4078980 is an abundant number, since it is smaller than the sum of its proper divisors (9758844).

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

4078980 is a wasteful number, since it uses less digits than its factorization.

4078980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4078980 is about 2019.6484842665. The cubic root of 4078980 is about 159.7780777497.

The spelling of 4078980 in words is "four million, seventy-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 43 45 51 60 62 68 85 86 90 93 102 124 129 153 155 170 172 180 186 204 215 255 258 279 306 310 340 372 387 430 465 510 516 527 558 612 620 645 731 765 774 860 930 1020 1054 1116 1290 1333 1395 1462 1530 1548 1581 1860 1935 2108 2193 2580 2635 2666 2790 2924 3060 3162 3655 3870 3999 4386 4743 5270 5332 5580 6324 6579 6665 7310 7740 7905 7998 8772 9486 10540 10965 11997 13158 13330 14620 15810 15996 18972 19995 21930 22661 23715 23994 26316 26660 31620 32895 39990 43860 45322 47430 47988 59985 65790 67983 79980 90644 94860 113305 119970 131580 135966 203949 226610 239940 271932 339915 407898 453220 679830 815796 1019745 1359660 2039490 4078980