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2070676440 = 233357273899
BaseRepresentation
bin111101101101100…
…0000001111011000
312100022100021002000
41323123000033120
513220043121230
6541245441000
7102212313360
oct17333001730
95308307060
102070676440
1197292a948
12499570160
1326ccc1a41
141590159a0
15c1bc3b60
hex7b6c03d8

2070676440 has 128 divisors (see below), whose sum is σ = 7888320000. Its totient is φ = 473295744.

The previous prime is 2070676427. The next prime is 2070676513. The reversal of 2070676440 is 446760702.

2070676440 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 6 + 7 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2070676395 and 2070676404.

It is a congruent number.

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, 129390 + ... + 144509.

It is an arithmetic number, because the mean of its divisors is an integer number (61627500).

Almost surely, 22070676440 is an apocalyptic number.

2070676440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2070676440 is an abundant number, since it is smaller than the sum of its proper divisors (5817643560).

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

2070676440 is a wasteful number, since it uses less digits than its factorization.

2070676440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273926 (or 273916 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2070676440 is about 45504.6859125519. The cubic root of 2070676440 is about 1274.5907059948.

The spelling of 2070676440 in words is "two billion, seventy million, six hundred seventy-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 273899 547798 821697 1095596 1369495 1643394 1917293 2191192 2465091 2738990 3286788 3834586 4108485 4930182 5477980 5751879 6573576 7395273 7669172 8216970 9586465 9860364 10955960 11503758 12325455 14790546 15338344 16433940 17255637 19172930 19720728 23007516 24650910 28759395 29581092 32867880 34511274 36976365 38345860 46015032 49301820 51766911 57518790 59162184 69022548 73952730 76691720 86278185 98603640 103533822 115037580 138045096 147905460 172556370 207067644 230075160 258834555 295810920 345112740 414135288 517669110 690225480 1035338220 2070676440