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19930560 = 2635131597
BaseRepresentation
bin100110000000…
…1110111000000
31101111120120220
41030001313000
520100234220
61551103040
7331256406
oct114016700
941446526
1019930560
1110283141
126811a80
13418a940
14290b476
151b3a540
hex1301dc0

19930560 has 112 divisors (see below), whose sum is σ = 68189856. Its totient is φ = 4902912.

The previous prime is 19930549. The next prime is 19930567. The reversal of 19930560 is 6503991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19930567) 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, 11682 + ... + 13278.

It is an arithmetic number, because the mean of its divisors is an integer number (608838).

Almost surely, 219930560 is an apocalyptic number.

19930560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34094928).

19930560 is an abundant number, since it is smaller than the sum of its proper divisors (48259296).

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

19930560 is a wasteful number, since it uses less digits than its factorization.

19930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 19930560 is about 4464.3655764285. The cubic root of 19930560 is about 271.1272487831.

The spelling of 19930560 in words is "nineteen million, nine hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 1597 2080 2496 3120 3194 4160 4791 6240 6388 7985 9582 12480 12776 15970 19164 20761 23955 25552 31940 38328 41522 47910 51104 62283 63880 76656 83044 95820 102208 103805 124566 127760 153312 166088 191640 207610 249132 255520 306624 311415 332176 383280 415220 498264 511040 622830 664352 766560 830440 996528 1245660 1328704 1533120 1660880 1993056 2491320 3321760 3986112 4982640 6643520 9965280 19930560