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842605740 = 223451074861
BaseRepresentation
bin110010001110010…
…010010010101100
32011201111210210000
4302032102102230
53211201340430
6215335544300
726611013334
oct6216222254
92151453700
10842605740
113a26a1189
121b622b090
1310574c7a2
147dc9a0c4
154de90e60
hex323924ac

842605740 has 120 divisors (see below), whose sum is σ = 2668537872. Its totient is φ = 222549120.

The previous prime is 842605717. The next prime is 842605741. The reversal of 842605740 is 47506248.

842605740 is a `hidden beast` number, since 8 + 4 + 2 + 605 + 7 + 40 = 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 = 842605695 and 842605704.

It is not an unprimeable number, because it can be changed into a prime (842605741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170910 + ... + 175770.

Almost surely, 2842605740 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 842605740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334268936).

842605740 is an abundant number, since it is smaller than the sum of its proper divisors (1825932132).

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

842605740 is a wasteful number, since it uses less digits than its factorization.

842605740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 842605740 is about 29027.6719700358. The cubic root of 842605740 is about 944.5134305420.

It can be divided in two parts, 84260 and 5740, that added together give a square (90000 = 3002).

The spelling of 842605740 in words is "eight hundred forty-two million, six hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 214 270 321 324 405 428 535 540 642 810 963 1070 1284 1605 1620 1926 2140 2889 3210 3852 4815 4861 5778 6420 8667 9630 9722 11556 14445 14583 17334 19260 19444 24305 28890 29166 34668 43335 43749 48610 57780 58332 72915 86670 87498 97220 131247 145830 173340 174996 218745 262494 291660 393741 437490 520127 524988 656235 787482 874980 1040254 1312470 1560381 1574964 1968705 2080508 2600635 2624940 3120762 3937410 4681143 5201270 6241524 7801905 7874820 9362286 10402540 14043429 15603810 18724572 23405715 28086858 31207620 42130287 46811430 56173716 70217145 84260574 93622860 140434290 168521148 210651435 280868580 421302870 842605740