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5201952560 = 245782311287
BaseRepresentation
bin1001101100000111…
…10111111100110000
3111102112101120101122
410312003313330300
541123144440220
62220103521412
7242623603310
oct46603677460
914375346348
105201952560
11222a403a52
121012159268
1364b94a84c
14374c31440
15206a49425
hex1360f7f30

5201952560 has 80 divisors (see below), whose sum is σ = 13840352256. Its totient is φ = 1781201664.

The previous prime is 5201952559. The next prime is 5201952577. The reversal of 5201952560 is 652591025.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5201952560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455237 + ... + 466523.

Almost surely, 25201952560 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 5201952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920176128).

5201952560 is an abundant number, since it is smaller than the sum of its proper divisors (8638399696).

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

5201952560 is a wasteful number, since it uses less digits than its factorization.

5201952560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12130 (or 12124 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 5201952560 is about 72124.5628063006. The cubic root of 5201952560 is about 1732.6950276268.

The spelling of 5201952560 in words is "five billion, two hundred one million, nine hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 823 1646 3292 4115 5761 6584 8230 11287 11522 13168 16460 22574 23044 28805 32920 45148 46088 56435 57610 65840 79009 90296 92176 112870 115220 158018 180592 225740 230440 316036 395045 451480 460880 632072 790090 902960 1264144 1580180 3160360 6320720 9289201 18578402 37156804 46446005 65024407 74313608 92892010 130048814 148627216 185784020 260097628 325122035 371568040 520195256 650244070 743136080 1040390512 1300488140 2600976280 5201952560