Search a number
-
+
5505006120 = 2335534331999
BaseRepresentation
bin1010010000001111…
…11011101000101000
3112012122122021201120
411020013323220220
542233240143440
62310131215240
7253263531345
oct51007735050
915178567646
105505006120
112375483639
121097747520
13699677493
143a319b7cc
1522345cdd0
hex1481fba28

5505006120 has 128 divisors (see below), whose sum is σ = 16873920000. Its totient is φ = 1436258304.

The previous prime is 5505006119. The next prime is 5505006131. The reversal of 5505006120 is 216005055.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2752881 + ... + 2754879.

It is an arithmetic number, because the mean of its divisors is an integer number (131827500).

Almost surely, 25505006120 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 5505006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960000).

5505006120 is an abundant number, since it is smaller than the sum of its proper divisors (11368913880).

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

5505006120 is a wasteful number, since it uses less digits than its factorization.

5505006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5505006120 is about 74195.7284484761. The cubic root of 5505006120 is about 1765.7095612389.

The spelling of 5505006120 in words is "five billion, five hundred five million, six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 433 530 636 795 866 1060 1272 1299 1590 1732 1999 2120 2165 2598 3180 3464 3998 4330 5196 5997 6360 6495 7996 8660 9995 10392 11994 12990 15992 17320 19990 22949 23988 25980 29985 39980 45898 47976 51960 59970 68847 79960 91796 105947 114745 119940 137694 183592 211894 229490 239880 275388 317841 344235 423788 458980 529735 550776 635682 688470 847576 865567 917960 1059470 1271364 1376940 1589205 1731134 2118940 2542728 2596701 2753880 3178410 3462268 4237880 4327835 5193402 6356820 6924536 8655670 10386804 12713640 12983505 17311340 20773608 25967010 34622680 45875051 51934020 91750102 103868040 137625153 183500204 229375255 275250306 367000408 458750510 550500612 688125765 917501020 1101001224 1376251530 1835002040 2752503060 5505006120