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1242646640 = 245107179811
BaseRepresentation
bin100101000010001…
…0100100001110000
310012121020222201122
41022010110201300
510021104143030
6323150121412
742536215334
oct11204244160
93177228648
101242646640
115884948a4
122a81b0268
1316a5a6891
14bb0717c4
15741618e5
hex4a114870

1242646640 has 80 divisors (see below), whose sum is σ = 2936062080. Its totient is φ = 489058560.

The previous prime is 1242646633. The next prime is 1242646651. The reversal of 1242646640 is 466462421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1242646640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531835 + ... + 1532645.

It is an arithmetic number, because the mean of its divisors is an integer number (36700776).

Almost surely, 21242646640 is an apocalyptic number.

1242646640 is a gapful number since it is divisible by the number (10) 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 1242646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468031040).

1242646640 is an abundant number, since it is smaller than the sum of its proper divisors (1693415440).

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

1242646640 is a wasteful number, since it uses less digits than its factorization.

1242646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 1242646640 is about 35251.1934549740. The cubic root of 1242646640 is about 1075.1008782203.

The spelling of 1242646640 in words is "one billion, two hundred forty-two million, six hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 179 214 358 428 535 716 811 856 895 1070 1432 1622 1712 1790 2140 2864 3244 3580 4055 4280 6488 7160 8110 8560 12976 14320 16220 19153 32440 38306 64880 76612 86777 95765 145169 153224 173554 191530 290338 306448 347108 383060 433885 580676 694216 725845 766120 867770 1161352 1388432 1451690 1532240 1735540 2322704 2903380 3471080 5806760 6942160 11613520 15533083 31066166 62132332 77665415 124264664 155330830 248529328 310661660 621323320 1242646640