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10742403620 = 22513436411499
BaseRepresentation
bin10100000000100110…
…00001001000100100
31000201122201122102202
422000103001020210
5134000023403440
64533542554032
7530130631664
oct120023011044
930648648382
1010742403620
114612896923
1220b9738918
131022755460
1473c9b81a4
1542d159615
hex2804c1224

10742403620 has 96 divisors (see below), whose sum is σ = 24914736000. Its totient is φ = 3865559040.

The previous prime is 10742403601. The next prime is 10742403689. The reversal of 10742403620 is 2630424701.

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, 7165631 + ... + 7167129.

It is an arithmetic number, because the mean of its divisors is an integer number (259528500).

Almost surely, 210742403620 is an apocalyptic number.

10742403620 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 10742403620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457368000).

10742403620 is an abundant number, since it is smaller than the sum of its proper divisors (14172332380).

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

10742403620 is a wasteful number, since it uses less digits than its factorization.

10742403620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 10742403620 in words is "ten billion, seven hundred forty-two million, four hundred three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 641 860 1118 1282 1499 2236 2564 2795 2998 3205 5590 5996 6410 7495 8333 11180 12820 14990 16666 19487 27563 29980 33332 38974 41665 55126 64457 77948 83330 97435 110252 128914 137815 166660 194870 257828 275630 322285 358319 389740 551260 644570 716638 837941 960859 1289140 1433276 1675882 1791595 1921718 3351764 3583190 3843436 4189705 4804295 7166380 8379410 9608590 12491167 16758820 19217180 24982334 41316937 49964668 62455835 82633874 124911670 165267748 206584685 249823340 413169370 537120181 826338740 1074240362 2148480724 2685600905 5371201810 10742403620