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5507320 = 2357131789
BaseRepresentation
bin10101000000100011111000
3101100210121211
4111000203320
52402213240
6314012504
764545220
oct25004370
911323554
105507320
113121805
121a17134
1311aa990
14a35080
1573bbea
hex5408f8

5507320 has 128 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 1622016.

The previous prime is 5507317. The next prime is 5507323. The reversal of 5507320 is 237055.

It is an interprime number because it is at equal distance from previous prime (5507317) and next prime (5507323).

It is a junction number, because it is equal to n+sod(n) for n = 5507291 and 5507300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5507323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61836 + ... + 61924.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

Almost surely, 25507320 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 5507320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

5507320 is an abundant number, since it is smaller than the sum of its proper divisors (10822280).

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

5507320 is a wasteful number, since it uses less digits than its factorization.

5507320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 5507320 is about 2346.7679902368. The cubic root of 5507320 is about 176.5956915959.

The spelling of 5507320 in words is "five million, five hundred seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 89 91 104 119 130 136 140 170 178 182 221 238 260 280 340 356 364 442 445 455 476 520 595 623 680 712 728 884 890 910 952 1105 1157 1190 1246 1513 1547 1768 1780 1820 2210 2314 2380 2492 3026 3094 3115 3560 3640 4420 4628 4760 4984 5785 6052 6188 6230 7565 7735 8099 8840 9256 10591 11570 12104 12376 12460 15130 15470 16198 19669 21182 23140 24920 30260 30940 32396 39338 40495 42364 46280 52955 60520 61880 64792 78676 80990 84728 98345 105910 137683 157352 161980 196690 211820 275366 323960 393380 423640 550732 688415 786760 1101464 1376830 2753660 5507320