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681214560 = 253513109169
BaseRepresentation
bin101000100110101…
…000001001100000
31202110211021200220
4220212220021200
52343342331220
6151332443040
722611141165
oct5046501140
91673737626
10681214560
1131a589644
12170179480
13ab192a50
146668806c
153ec11540
hex289a8260

681214560 has 96 divisors (see below), whose sum is σ = 2310910560. Its totient is φ = 167682048.

The previous prime is 681214559. The next prime is 681214561. The reversal of 681214560 is 65412186.

It is an interprime number because it is at equal distance from previous prime (681214559) and next prime (681214561).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681214561) 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, 48345 + ... + 60824.

It is an arithmetic number, because the mean of its divisors is an integer number (24071985).

Almost surely, 2681214560 is an apocalyptic number.

681214560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681214560 is an abundant number, since it is smaller than the sum of its proper divisors (1629696000).

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

681214560 is a wasteful number, since it uses less digits than its factorization.

681214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109200 (or 109192 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 681214560 is about 26100.0873561756. The cubic root of 681214560 is about 879.8891733710.

The spelling of 681214560 in words is "six hundred eighty-one million, two hundred fourteen 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 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 109169 218338 327507 436676 545845 655014 873352 1091690 1310028 1419197 1637535 1746704 2183380 2620056 2838394 3275070 3493408 4257591 4366760 5240112 5676788 6550140 7095985 8515182 8733520 10480224 11353576 13100280 14191970 17030364 17467040 21287955 22707152 26200560 28383940 34060728 42575910 45414304 52401120 56767880 68121456 85151820 113535760 136242912 170303640 227071520 340607280 681214560