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1010322040 = 235713535237
BaseRepresentation
bin111100001110000…
…100101001111000
32121102002200021211
4330032010221320
54032120301130
6244130412504
734015411210
oct7416045170
92542080254
101010322040
114793339a2
12242431134
131314124c0
1498277240
155da6ea2a
hex3c384a78

1010322040 has 128 divisors (see below), whose sum is σ = 2851148160. Its totient is φ = 313657344.

The previous prime is 1010322031. The next prime is 1010322083. The reversal of 1010322040 is 402230101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1010322040.

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, 190302 + ... + 195538.

It is an arithmetic number, because the mean of its divisors is an integer number (22274595).

Almost surely, 21010322040 is an apocalyptic number.

1010322040 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 1010322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425574080).

1010322040 is an abundant number, since it is smaller than the sum of its proper divisors (1840826120).

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

1010322040 is a wasteful number, since it uses less digits than its factorization.

1010322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1010322040 is about 31785.5633896900. The cubic root of 1010322040 is about 1003.4289091437.

Adding to 1010322040 its reverse (402230101), we get a palindrome (1412552141).

The spelling of 1010322040 in words is "one billion, ten million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 53 56 65 70 91 104 106 130 140 182 212 260 265 280 364 371 424 455 520 530 689 728 742 910 1060 1378 1484 1820 1855 2120 2756 2968 3445 3640 3710 4823 5237 5512 6890 7420 9646 10474 13780 14840 19292 20948 24115 26185 27560 36659 38584 41896 48230 52370 68081 73318 96460 104740 136162 146636 183295 192920 209480 272324 277561 293272 340405 366590 476567 544648 555122 680810 733180 953134 1110244 1361620 1387805 1466360 1906268 1942927 2220488 2382835 2723240 2775610 3608293 3812536 3885854 4765670 5551220 7216586 7771708 9531340 9714635 11102440 14433172 15543416 18041465 19062680 19429270 25258051 28866344 36082930 38858540 50516102 72165860 77717080 101032204 126290255 144331720 202064408 252580510 505161020 1010322040