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68694600 = 23352138807
BaseRepresentation
bin1000001100000…
…11001001001000
311210021001021110
410012003021020
5120041211400
610452210320
71462615542
oct406031110
9153231243
1068694600
113585a2a7
121b0099a0
13113025c0
1491a2692
15606de50
hex4183248

68694600 has 96 divisors (see below), whose sum is σ = 229360320. Its totient is φ = 16907520.

The previous prime is 68694599. The next prime is 68694611. The reversal of 68694600 is 649686.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3397 + ... + 12203.

It is an arithmetic number, because the mean of its divisors is an integer number (2389170).

Almost surely, 268694600 is an apocalyptic number.

68694600 is a gapful number since it is divisible by the number (60) 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 68694600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114680160).

68694600 is an abundant number, since it is smaller than the sum of its proper divisors (160665720).

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

68694600 is a wasteful number, since it uses less digits than its factorization.

68694600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8839 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 68694600 is about 8288.2205569109. The cubic root of 68694600 is about 409.5505684010.

It can be divided in two parts, 68694 and 600, that multiplied together give a square (41216400 = 64202).

The spelling of 68694600 in words is "sixty-eight million, six hundred ninety-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 8807 17614 26421 35228 44035 52842 70456 88070 105684 114491 132105 176140 211368 220175 228982 264210 343473 352280 440350 457964 528420 572455 660525 686946 880700 915928 1056840 1144910 1321050 1373892 1717365 1761400 2289820 2642100 2747784 2862275 3434730 4579640 5284200 5724550 6869460 8586825 11449100 13738920 17173650 22898200 34347300 68694600