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5202960 = 2435719163
BaseRepresentation
bin10011110110010000010000
3100210100010020
4103312100100
52312443320
6303303440
762136660
oct23662020
910710106
105202960
112a34074
1218aab80
131102299
149961a0
156cb940
hex4f6410

5202960 has 160 divisors (see below), whose sum is σ = 19522560. Its totient is φ = 1119744.

The previous prime is 5202917. The next prime is 5202971. The reversal of 5202960 is 692025.

It is a Cunningham number, because it is equal to 22812-1.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5202960.

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, 31839 + ... + 32001.

It is an arithmetic number, because the mean of its divisors is an integer number (122016).

Almost surely, 25202960 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 5202960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761280).

5202960 is an abundant number, since it is smaller than the sum of its proper divisors (14319600).

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

5202960 is a wasteful number, since it uses less digits than its factorization.

5202960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5202960 is about 2280.9997807979. Note that the first 3 decimals coincide. The cubic root of 5202960 is about 173.2806874963.

Adding to 5202960 its reverse (692025), we get a palindrome (5894985).

The spelling of 5202960 in words is "five million, two hundred two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 163 168 190 210 228 240 266 280 285 304 326 336 380 399 420 456 489 532 560 570 652 665 760 798 815 840 912 978 1064 1140 1141 1304 1330 1520 1596 1630 1680 1956 1995 2128 2280 2282 2445 2608 2660 3097 3192 3260 3423 3912 3990 4560 4564 4890 5320 5705 6194 6384 6520 6846 7824 7980 9128 9291 9780 10640 11410 12388 13040 13692 15485 15960 17115 18256 18582 19560 21679 22820 24776 27384 30970 31920 34230 37164 39120 43358 45640 46455 49552 54768 61940 65037 68460 74328 86716 91280 92910 108395 123880 130074 136920 148656 173432 185820 216790 247760 260148 273840 325185 346864 371640 433580 520296 650370 743280 867160 1040592 1300740 1734320 2601480 5202960