Search a number
-
+
5551520 = 2551317157
BaseRepresentation
bin10101001011010110100000
3101110001020212
4111023112200
52410122040
6314553252
765121122
oct25132640
911401225
105551520
113151a37
121a38828
1311c4b30
14a47212
15749d65
hex54b5a0

5551520 has 96 divisors (see below), whose sum is σ = 15050448. Its totient is φ = 1916928.

The previous prime is 5551501. The next prime is 5551529. The reversal of 5551520 is 251555.

It can be written as a sum of positive squares in 8 ways, for example, as 1567504 + 3984016 = 1252^2 + 1996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5551529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35282 + ... + 35438.

Almost surely, 25551520 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 5551520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525224).

5551520 is an abundant number, since it is smaller than the sum of its proper divisors (9498928).

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

5551520 is a wasteful number, since it uses less digits than its factorization.

5551520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 23.

The square root of 5551520 is about 2356.1663778265. The cubic root of 5551520 is about 177.0668669656.

The spelling of 5551520 in words is "five million, five hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 157 160 170 208 221 260 272 314 340 416 442 520 544 628 680 785 884 1040 1105 1256 1360 1570 1768 2041 2080 2210 2512 2669 2720 3140 3536 4082 4420 5024 5338 6280 7072 8164 8840 10205 10676 12560 13345 16328 17680 20410 21352 25120 26690 32656 34697 35360 40820 42704 53380 65312 69394 81640 85408 106760 138788 163280 173485 213520 277576 326560 346970 427040 555152 693940 1110304 1387880 2775760 5551520