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1000484240 = 245759107283
BaseRepresentation
bin111011101000100…
…010110110010000
32120201120212100212
4323220202312100
54022110443430
6243135503252
733535655450
oct7350426620
92521525325
101000484240
11473824688
1223b087b28
1312c379712
1496c35d60
155cc79b95
hex3ba22d90

1000484240 has 160 divisors (see below), whose sum is σ = 2738396160. Its totient is φ = 332877312.

The previous prime is 1000484237. The next prime is 1000484257. The reversal of 1000484240 is 424840001.

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, 3535139 + ... + 3535421.

It is an arithmetic number, because the mean of its divisors is an integer number (17114976).

Almost surely, 21000484240 is an apocalyptic number.

1000484240 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 1000484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369198080).

1000484240 is an abundant number, since it is smaller than the sum of its proper divisors (1737911920).

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

1000484240 is a wasteful number, since it uses less digits than its factorization.

1000484240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1000484240 is about 31630.4321816822. The cubic root of 1000484240 is about 1000.1613872861.

The spelling of 1000484240 in words is "one billion, four hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 107 112 118 140 214 236 280 283 295 413 428 472 535 560 566 590 749 826 856 944 1070 1132 1180 1415 1498 1652 1712 1981 2065 2140 2264 2360 2830 2996 3304 3745 3962 4130 4280 4528 4720 5660 5992 6313 6608 7490 7924 8260 8560 9905 11320 11984 12626 14980 15848 16520 16697 19810 22640 25252 29960 30281 31565 31696 33040 33394 39620 44191 50504 59920 60562 63130 66788 79240 83485 88382 101008 116879 121124 126260 133576 151405 158480 166970 176764 211967 220955 233758 242248 252520 267152 302810 333940 353528 423934 441910 467516 484496 505040 584395 605620 667880 707056 847868 883820 935032 1059835 1168790 1211240 1335760 1695736 1767640 1786579 1870064 2119670 2337580 2422480 3391472 3535280 3573158 4239340 4675160 7146316 8478680 8932895 9350320 12506053 14292632 16957360 17865790 25012106 28585264 35731580 50024212 62530265 71463160 100048424 125060530 142926320 200096848 250121060 500242120 1000484240