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1004544420 = 2235112179773
BaseRepresentation
bin111011111000000…
…010000110100100
32121000020010212220
4323320002012210
54024130410140
6243402512340
733615325635
oct7370020644
92530203786
101004544420
11476048100
122405056b0
1313016b7a9
14975b188c
155d2ccbd0
hex3be021a4

1004544420 has 144 divisors (see below), whose sum is σ = 3112966080. Its totient is φ = 241852160.

The previous prime is 1004544407. The next prime is 1004544451. The reversal of 1004544420 is 244454001.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1299154 + ... + 1299926.

It is an arithmetic number, because the mean of its divisors is an integer number (21617820).

Almost surely, 21004544420 is an apocalyptic number.

1004544420 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 1004544420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556483040).

1004544420 is an abundant number, since it is smaller than the sum of its proper divisors (2108421660).

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

1004544420 is a wasteful number, since it uses less digits than its factorization.

1004544420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1004544420 is about 31694.5487426466. The cubic root of 1004544420 is about 1001.5125178032.

Adding to 1004544420 its reverse (244454001), we get a palindrome (1248998421).

The spelling of 1004544420 in words is "one billion, four million, five hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 179 220 242 330 358 363 484 537 605 660 716 726 773 895 1074 1210 1452 1546 1790 1815 1969 2148 2319 2420 2685 3092 3580 3630 3865 3938 4638 5370 5907 7260 7730 7876 8503 9276 9845 10740 11595 11814 15460 17006 19690 21659 23190 23628 25509 29535 34012 39380 42515 43318 46380 51018 59070 64977 85030 86636 93533 102036 108295 118140 127545 129954 138367 170060 187066 216590 255090 259908 276734 280599 324885 374132 415101 433180 467665 510180 553468 561198 649770 691835 830202 935330 1122396 1299540 1383670 1402995 1522037 1660404 1870660 2075505 2767340 2805990 3044074 4151010 4566111 5611980 6088148 7610185 8302020 9132222 15220370 16742407 18264444 22830555 30440740 33484814 45661110 50227221 66969628 83712035 91322220 100454442 167424070 200908884 251136105 334848140 502272210 1004544420