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68683100 = 22521937977
BaseRepresentation
bin1000001100000…
…00010101011100
311210020110111112
410012000111130
5120040324400
610452041152
71462540163
oct406002534
9153213445
1068683100
11358516a2
121b0031b8
13112ca2b5
14919c3da
15606a835
hex418055c

68683100 has 72 divisors (see below), whose sum is σ = 161291760. Its totient is φ = 25297920.

The previous prime is 68683099. The next prime is 68683123. The reversal of 68683100 is 138686.

It is a super-2 number, since 2×686831002 = 9434736451220000, 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, 69812 + ... + 70788.

Almost surely, 268683100 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 68683100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80645880).

68683100 is an abundant number, since it is smaller than the sum of its proper divisors (92608660).

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

68683100 is a wasteful number, since it uses less digits than its factorization.

68683100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 68683100 is about 8287.5267722041. The cubic root of 68683100 is about 409.5277131625.

The spelling of 68683100 in words is "sixty-eight million, six hundred eighty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 74 76 95 100 148 185 190 370 380 475 703 740 925 950 977 1406 1850 1900 1954 2812 3515 3700 3908 4885 7030 9770 14060 17575 18563 19540 24425 35150 36149 37126 48850 70300 72298 74252 92815 97700 144596 180745 185630 361490 371260 464075 686831 722980 903725 928150 1373662 1807450 1856300 2747324 3434155 3614900 6868310 13736620 17170775 34341550 68683100