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4420553340 = 2235716636329
BaseRepresentation
bin1000001110111110…
…00100101001111100
3102102002001101011210
410013133010221330
533023130201330
62010351444420
7214355040420
oct40737045174
912362041153
104420553340
111969318175
12a34526710
13555aab248
142dd148b80
151ad1488b0
hex1077c4a7c

4420553340 has 96 divisors (see below), whose sum is σ = 14156513280. Its totient is φ = 1009645056.

The previous prime is 4420553339. The next prime is 4420553341. The reversal of 4420553340 is 433550244.

It is an interprime number because it is at equal distance from previous prime (4420553339) and next prime (4420553341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4420553298 and 4420553307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420553341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695296 + ... + 701624.

It is an arithmetic number, because the mean of its divisors is an integer number (147463680).

Almost surely, 24420553340 is an apocalyptic number.

It is an amenable number.

4420553340 is an abundant number, since it is smaller than the sum of its proper divisors (9735959940).

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

4420553340 is a wasteful number, since it uses less digits than its factorization.

4420553340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 4420553340 is about 66487.2419340733. The cubic root of 4420553340 is about 1641.1900617662.

The spelling of 4420553340 in words is "four billion, four hundred twenty million, five hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1663 3326 4989 6329 6652 8315 9978 11641 12658 16630 18987 19956 23282 24945 25316 31645 33260 34923 37974 44303 46564 49890 58205 63290 69846 75948 88606 94935 99780 116410 126580 132909 139692 174615 177212 189870 221515 232820 265818 349230 379740 443030 531636 664545 698460 886060 1329090 2658180 10525127 21050254 31575381 42100508 52625635 63150762 73675889 105251270 126301524 147351778 157876905 210502540 221027667 294703556 315753810 368379445 442055334 631507620 736758890 884110668 1105138335 1473517780 2210276670 4420553340