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68674100 = 225211149419
BaseRepresentation
bin1000001011111…
…10001000110100
311210020000011012
410011332020310
5120040032400
610451531352
71462502015
oct405761064
9153200135
1068674100
1135845960
121abb9b58
13112c6181
14919900c
156067d35
hex417e234

68674100 has 72 divisors (see below), whose sum is σ = 164052000. Its totient is φ = 24745600.

The previous prime is 68674079. The next prime is 68674153. The reversal of 68674100 is 147686.

It is a super-2 number, since 2×686741002 = 9432264021620000, which contains 22 as substring.

It is a congruent number.

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, 163691 + ... + 164109.

It is an arithmetic number, because the mean of its divisors is an integer number (2278500).

Almost surely, 268674100 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 68674100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026000).

68674100 is an abundant number, since it is smaller than the sum of its proper divisors (95377900).

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

68674100 is a wasteful number, since it uses less digits than its factorization.

68674100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 68674100 is about 8286.9837697440. The cubic root of 68674100 is about 409.5098246746.

The spelling of 68674100 in words is "sixty-eight million, six hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 149 220 275 298 419 550 596 745 838 1100 1490 1639 1676 2095 2980 3278 3725 4190 4609 6556 7450 8195 8380 9218 10475 14900 16390 18436 20950 23045 32780 40975 41900 46090 62431 81950 92180 115225 124862 163900 230450 249724 312155 460900 624310 686741 1248620 1373482 1560775 2746964 3121550 3433705 6243100 6867410 13734820 17168525 34337050 68674100