Search a number
-
+
5506105200 = 243524588421
BaseRepresentation
bin1010010000011000…
…00111111101110000
3112012201201010101020
411020030013331300
542234030331300
62310210535440
7253306056561
oct51014077560
915181633336
105506105200
112376064372
121097b97580
1369997081b
143a33a6168
152235c88a0
hex148307f70

5506105200 has 60 divisors (see below), whose sum is σ = 17637894168. Its totient is φ = 1468294400.

The previous prime is 5506105177. The next prime is 5506105273. The reversal of 5506105200 is 25016055.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2293011 + ... + 2295410.

Almost surely, 25506105200 is an apocalyptic number.

5506105200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5506105200 is an abundant number, since it is smaller than the sum of its proper divisors (12131788968).

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

5506105200 is a wasteful number, since it uses less digits than its factorization.

5506105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588442 (or 4588431 counting only the distinct ones).

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

The square root of 5506105200 is about 74203.1347046740. The cubic root of 5506105200 is about 1765.8270619819.

The spelling of 5506105200 in words is "five billion, five hundred six million, one hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 4588421 9176842 13765263 18353684 22942105 27530526 36707368 45884210 55061052 68826315 73414736 91768420 110122104 114710525 137652630 183536840 220244208 229421050 275305260 344131575 367073680 458842100 550610520 688263150 917684200 1101221040 1376526300 1835368400 2753052600 5506105200